1:"$Sreact.fragment"
2:I[10156,[],""]
3:I[6746,[],""]
4:I[76837,["9310","static/chunks/f8d55a4d-f82e876c81147bfd.js","7821","static/chunks/7821-fecf606f47f1f58d.js","8963","static/chunks/8963-69c253eec8d741c5.js","104","static/chunks/104-e8a10a728f64230d.js","3374","static/chunks/3374-cffcb39c106cc278.js","6344","static/chunks/6344-f0148458c0499269.js","2043","static/chunks/2043-cb8fa44c52a8f8b9.js","9559","static/chunks/app/(frontend)/layout-42f64306bd0733c5.js"],"default"]
5:I[32043,["9310","static/chunks/f8d55a4d-f82e876c81147bfd.js","7821","static/chunks/7821-fecf606f47f1f58d.js","8963","static/chunks/8963-69c253eec8d741c5.js","104","static/chunks/104-e8a10a728f64230d.js","3374","static/chunks/3374-cffcb39c106cc278.js","6344","static/chunks/6344-f0148458c0499269.js","2043","static/chunks/2043-cb8fa44c52a8f8b9.js","9559","static/chunks/app/(frontend)/layout-42f64306bd0733c5.js"],"default"]
6:I[67821,["9310","static/chunks/f8d55a4d-f82e876c81147bfd.js","6956","static/chunks/66a6e935-aee5d3cb85c323ac.js","7821","static/chunks/7821-fecf606f47f1f58d.js","8963","static/chunks/8963-69c253eec8d741c5.js","9858","static/chunks/9858-f1918ded0530ca69.js","609","static/chunks/609-95e41ae6a69b88b2.js","2456","static/chunks/2456-94cb89c116d69dd0.js","994","static/chunks/994-2c56ebb2d663b523.js","6472","static/chunks/6472-2ee935ddbae5821a.js","3349","static/chunks/app/(frontend)/calculators/%5Bcategory%5D/%5Bslug%5D/page-70bb6ad84377852d.js"],""]
1a:I[14600,[],"default",1]
:HL["/_next/static/media/849c382dee069680-s.p.woff2","font",{"crossOrigin":"","type":"font/woff2"}]
:HL["/_next/static/media/e4af272ccee01ff0-s.p.woff2","font",{"crossOrigin":"","type":"font/woff2"}]
:HL["/_next/static/css/60d9b09af57ce3c6.css","style"]
:HL["/_next/static/css/9c59f2e83b7f05d1.css","style"]
0:{"P":null,"c":["","calculators","finance","productivity-calculator.rsc"],"q":"","i":false,"f":[[["",{"children":["(frontend)",{"children":["calculators",{"children":[["category","finance","d",null],{"children":[["slug","productivity-calculator","d",null],{"children":["__PAGE__",{}]}]}]}]},"$undefined","$undefined",16]}],[["$","$1","c",{"children":[null,["$","$L2",null,{"parallelRouterKey":"children","error":"$undefined","errorStyles":"$undefined","errorScripts":"$undefined","template":["$","$L3",null,{}],"templateStyles":"$undefined","templateScripts":"$undefined","notFound":[[["$","title",null,{"children":"404: This page could not be found."}],["$","div",null,{"style":{"fontFamily":"system-ui,\"Segoe UI\",Roboto,Helvetica,Arial,sans-serif,\"Apple Color Emoji\",\"Segoe UI Emoji\"","height":"100vh","textAlign":"center","display":"flex","flexDirection":"column","alignItems":"center","justifyContent":"center"},"children":["$","div",null,{"children":[["$","style",null,{"dangerouslySetInnerHTML":{"__html":"body{color:#000;background:#fff;margin:0}.next-error-h1{border-right:1px solid rgba(0,0,0,.3)}@media (prefers-color-scheme:dark){body{color:#fff;background:#000}.next-error-h1{border-right:1px solid rgba(255,255,255,.3)}}"}}],["$","h1",null,{"className":"next-error-h1","style":{"display":"inline-block","margin":"0 20px 0 0","padding":"0 23px 0 0","fontSize":24,"fontWeight":500,"verticalAlign":"top","lineHeight":"49px"},"children":404}],["$","div",null,{"style":{"display":"inline-block"},"children":["$","h2",null,{"style":{"fontSize":14,"fontWeight":400,"lineHeight":"49px","margin":0},"children":"This page could not be found."}]}]]}]}]],[]],"forbidden":"$undefined","unauthorized":"$undefined"}]]}],{"children":[["$","$1","c",{"children":[[["$","link","0",{"rel":"stylesheet","href":"/_next/static/css/60d9b09af57ce3c6.css","precedence":"next","crossOrigin":"$undefined","nonce":"$undefined"}],["$","link","1",{"rel":"stylesheet","href":"/_next/static/css/9c59f2e83b7f05d1.css","precedence":"next","crossOrigin":"$undefined","nonce":"$undefined"}]],["$","html",null,{"lang":"en","data-scroll-behavior":"smooth","children":[["$","body",null,{"className":"bg-white antialiased dark:bg-mist-950 __variable_f367f3 __variable_008b00","suppressHydrationWarning":true,"children":[["$","div",null,{"className":"flex min-h-screen flex-col justify-between","children":[["$","$L4",null,{}],["$","$L5",null,{"children":["$","$L2",null,{"parallelRouterKey":"children","error":"$undefined","errorStyles":"$undefined","errorScripts":"$undefined","template":["$","$L3",null,{}],"templateStyles":"$undefined","templateScripts":"$undefined","notFound":[["$","main",null,{"className":"isolate overflow-clip","children":["$","section",null,{"className":"py-16","children":["$","div",null,{"className":"mx-auto w-full max-w-2xl px-6 md:max-w-3xl lg:max-w-7xl lg:px-10 flex flex-col items-center gap-6","children":[["$","h1",null,{"className":"font-display text-5xl/12 tracking-tight text-balance sm:text-[5rem]/20 text-mist-950 dark:text-white max-w-5xl text-center","children":"Page not found"}],["$","div",null,{"className":"text-lg/8 text-mist-700 dark:text-mist-400 max-w-xl text-center","children":["$","p",null,{"children":"Sorry, the page you were looking for could not be found."}]}],["$","$L6",null,{"href":"/","className":"inline-flex items-center gap-2 text-sm/7 font-medium text-mist-950 dark:text-white","children":["Go back home ",["$","svg",null,{"width":13,"height":7,"viewBox":"0 0 13 7","fill":"none","strokeWidth":1,"role":"image","className":"inline-block","children":[["$","path",null,{"d":"M12.5049 3.49512L0.504883 3.49512","stroke":"currentColor","strokeLinecap":"round","strokeLinejoin":"round"}],["$","path",null,{"d":"M9.5 6.5L12.5 3.5L9.5 0.5","stroke":"currentColor","strokeLinecap":"round","strokeLinejoin":"round"}]]}]]}]]}]}]}],[]],"forbidden":"$undefined","unauthorized":"$undefined"}]}],["$","footer",null,{"children":["$","div",null,{"className":"bg-mist-950/2.5 py-16 text-mist-950 dark:bg-white/5 dark:text-white","children":["$","div",null,{"className":"mx-auto w-full max-w-2xl px-6 md:max-w-3xl lg:max-w-7xl lg:px-10 flex flex-col gap-12","children":[["$","div",null,{"className":"flex flex-col items-start justify-between gap-6 sm:flex-row","children":[["$","div",null,{"className":"flex flex-col items-start gap-2","children":[["$","$L6",null,{"href":"/","children":["$","svg",null,{"className":"h-5 w-auto","xmlns":"http://www.w3.org/2000/svg","width":742,"height":68,"viewBox":"0 0 742 68","fill":"none","children":[["$","path",null,{"fill":"#161616","d":"M129.5 41.4c0-13 10.5-23.4 23.4-23.4 12.9 0 23.3 10.4 23.3 23.4v22.7h-11.8v-4.8c-1.4 3-6.3 5.5-11.5 5.5-12.9 0-23.4-10.4-23.4-23.4Zm35 0c0-6.7-4.8-11.9-11.5-11.9s-11.7 5.2-11.7 11.9 5 11.9 11.7 11.9c6.7 0 11.5-5.2 11.5-11.9ZM181.2 41.4c0-13 10.4-23.4 23.4-23.4 13 0 19.8 7.2 22.5 16.9h-12.5c-2-3.3-5.5-5.4-9.9-5.4-6.7 0-11.7 5.2-11.7 11.9s5 11.9 11.7 11.9c6.7 0 7.4-2 9.5-5H227c-2.9 9.6-11.8 16.5-22.4 16.5-10.6 0-23.4-10.4-23.4-23.4ZM248.3 30.3v12.4c0 7.3 2.4 10.2 8.2 10.2v11.5c-11.6 0-19.9-6.4-19.9-21.7V30.3h-6.7V18.8h6.6V1.1h11.8v17.7h8.3v11.5H248.3ZM274 18.7h-11.8V64H274V18.7ZM277.8 18.7h12.3l10.3 29.8 10.4-29.8h12.3L306.2 64h-11.8l-16.8-45.3h.2ZM345.8 18c11.2 0 23.2 8 23.7 22.4 0 2.1 0 4.1-.4 5.6h-33.6c1.1 4.5 5.1 7.3 10.3 7.3 5.2 0 6.3-1.5 7.8-2.6h14c-3.6 8.3-11.9 14.1-21.5 14.1s-23.4-10.4-23.4-23.3 10-23.5 23-23.5h.1Zm11 18.6c-1.8-4.3-6.2-7.1-10.7-7.1-4.5 0-8.9 2.8-10.7 7.1h21.4Z"}],"$L7","$L8","$L9","$La","$Lb","$Lc"]}]}],"$Ld"]}],"$Le"]}],"$Lf","$L10"]}]}]}]]}],"$L11","$L12"]}],"$L13"]}]]}],{"children":["$L14",{"children":["$L15",{"children":["$L16",{"children":["$L17",{},null,false,null]},null,false,"$@18"]},null,false,"$@18"]},null,false,"$@18"]},null,false,null]},null,false,"$@18"],"$L19",false]],"m":"$undefined","G":["$1a",[]],"S":true,"h":null,"b":"qKrY2dUw1szY2xJfsSyIe"}
1c:I[14245,["9310","static/chunks/f8d55a4d-f82e876c81147bfd.js","7821","static/chunks/7821-fecf606f47f1f58d.js","8963","static/chunks/8963-69c253eec8d741c5.js","104","static/chunks/104-e8a10a728f64230d.js","3374","static/chunks/3374-cffcb39c106cc278.js","6344","static/chunks/6344-f0148458c0499269.js","2043","static/chunks/2043-cb8fa44c52a8f8b9.js","9559","static/chunks/app/(frontend)/layout-42f64306bd0733c5.js"],"Button"]
22:I[46726,["9310","static/chunks/f8d55a4d-f82e876c81147bfd.js","7821","static/chunks/7821-fecf606f47f1f58d.js","8963","static/chunks/8963-69c253eec8d741c5.js","104","static/chunks/104-e8a10a728f64230d.js","3374","static/chunks/3374-cffcb39c106cc278.js","6344","static/chunks/6344-f0148458c0499269.js","2043","static/chunks/2043-cb8fa44c52a8f8b9.js","9559","static/chunks/app/(frontend)/layout-42f64306bd0733c5.js"],"default"]
23:I[19592,["9310","static/chunks/f8d55a4d-f82e876c81147bfd.js","6956","static/chunks/66a6e935-aee5d3cb85c323ac.js","7821","static/chunks/7821-fecf606f47f1f58d.js","8963","static/chunks/8963-69c253eec8d741c5.js","9858","static/chunks/9858-f1918ded0530ca69.js","609","static/chunks/609-95e41ae6a69b88b2.js","6344","static/chunks/6344-f0148458c0499269.js","2456","static/chunks/2456-94cb89c116d69dd0.js","994","static/chunks/994-2c56ebb2d663b523.js","6472","static/chunks/6472-2ee935ddbae5821a.js","2018","static/chunks/app/(frontend)/%5B...slug%5D/page-dcf70230194846a1.js"],""]
24:I[79066,["9310","static/chunks/f8d55a4d-f82e876c81147bfd.js","6956","static/chunks/66a6e935-aee5d3cb85c323ac.js","7821","static/chunks/7821-fecf606f47f1f58d.js","8963","static/chunks/8963-69c253eec8d741c5.js","9858","static/chunks/9858-f1918ded0530ca69.js","609","static/chunks/609-95e41ae6a69b88b2.js","6344","static/chunks/6344-f0148458c0499269.js","2456","static/chunks/2456-94cb89c116d69dd0.js","994","static/chunks/994-2c56ebb2d663b523.js","6472","static/chunks/6472-2ee935ddbae5821a.js","2018","static/chunks/app/(frontend)/%5B...slug%5D/page-dcf70230194846a1.js"],"GoogleTagManager"]
26:I[85305,[],"OutletBoundary"]
27:"$Sreact.suspense"
2a:I[85305,[],"ViewportBoundary"]
2c:I[85305,[],"MetadataBoundary"]
1b:T5a9,M373.9 41.4c0-13 10.5-23.4 23.4-23.4 12.9 0 16.9 5.3 20.6 12.8h-6.3c-3.2-4.4-8.2-7.3-14.2-7.3-10 0-17.7 7.9-17.7 17.9 0 10 7.9 17.9 17.7 17.9 9.8 0 11.1-3 14.2-7.3h6.4c-3.7 7.6-11.6 12.9-20.8 12.9-9.2 0-23.4-10.4-23.4-23.4l.1-.1ZM422.7 41.4c0-13 10.5-23.4 23.4-23.4 12.9 0 23.3 10.4 23.3 23.4v22.7h-5.8v-9.7c-3 6-9.8 10.4-17.5 10.4-12.9 0-23.4-10.4-23.4-23.4Zm41 0c0-10-7.5-17.9-17.5-17.9s-17.7 7.9-17.7 17.9c0 10 7.9 17.9 17.7 17.9 9.8 0 17.5-7.9 17.5-17.9ZM475.7 64.1V.7h5.8v63.4h-5.8ZM486.5 41.4c0-13 10.5-23.4 23.4-23.4 12.9 0 16.9 5.3 20.6 12.8h-6.3c-3.2-4.4-8.2-7.3-14.2-7.3-10 0-17.7 7.9-17.7 17.9 0 10 7.9 17.9 17.7 17.9 9.8 0 11.1-3 14.2-7.3h6.4c-3.7 7.6-11.6 12.9-20.8 12.9-9.2 0-23.4-10.4-23.4-23.4l.1-.1ZM575.6 18.7v23.8c0 15.2-8.3 22.2-19.9 22.2-11.6 0-19.9-7-19.9-22.2V18.7h5.8v23.8c0 11.3 5.7 16.7 14.1 16.7 8.4 0 14.1-5.3 14.1-16.7V18.7h5.8ZM581.9 64.1V.7h5.8v63.4h-5.8ZM592.7 41.4c0-13 10.5-23.4 23.4-23.4 12.9 0 23.3 10.4 23.3 23.4v22.7h-5.8v-9.7c-3 6-9.8 10.4-17.5 10.4-12.9 0-23.4-10.4-23.4-23.4Zm41 0c0-10-7.5-17.9-17.5-17.9s-17.7 7.9-17.7 17.9c0 10 7.9 17.9 17.7 17.9 9.8 0 17.5-7.9 17.5-17.9ZM652.5 24.3v18.2c0 10.1 4.4 15.1 11.4 16.2v5.6c-10.2-1-17.2-7.8-17.2-21.7V24.2h-6.8v-5.5h6.8V4.4h5.8v14.3h11.4v5.5h-11.4v.1ZM712 41.4c0 13-10.4 23.4-23.4 23.4-13 0-23.4-10.4-23.4-23.4 0-13 10.5-23.4 23.4-23.4 12.9 0 23.4 10.4 23.4 23.4Zm-41 0c0 10 7.9 17.9 17.7 17.9 9.8 0 17.5-7.9 17.5-17.9 0-10-7.5-17.9-17.5-17.9S671 31.4 671 41.4Z7:["$","path",null,{"fill":"#262626","d":"$1b"}]
8:["$","path",null,{"fill":"#09C269","d":"M274 1.1h-11.8v11.8H274V1.1Z"}]
9:["$","path",null,{"fill":"#161616","d":"M248.2 1.1v17.6L236.4 1.1h11.8Z"}]
a:["$","path",null,{"fill":"#09C269","d":"M65.2 47.1c-4.1-5.4-2.8-11.8-4.4-18-1.1-4.2-3.1-8.2-5.8-11.6-.7-.9-1.5-1.8-2.3-2.6-5.6-5.6-13.3-9-21.8-9C13.1 5.9-1.1 21 .2 39c1.3 18 13 26.9 27.9 28.2 9.6.8 18.4-2.8 24.6-9l-.4-.4c-3-3.8-5.1-8-6.3-12.6-3.3 5.7-9.7 9.4-16.8 8.7-8.1-.8-14.7-7.3-15.6-15.3-.9-8 7-19.4 17.3-19.4S43 22.7 46 27.9c2.6 4.6 2 9.6 3 14.6.9 4.8 2.9 9.3 6 13.2 5.6 7.1 14.3 11.6 24 11.6h30.8V55.2H82.1c-6.3 0-12.4-2.7-16.4-7.5-.2-.2-.4-.5-.6-.7l.1.1Z"}]
b:["$","path",null,{"fill":"#09C269","d":"M64 27.9c3-5.2 8.6-8.8 15.1-8.8 9.6 0 17.4 7.8 17.4 17.4h13.4c0-17-13.8-30.8-30.8-30.8s-16.2 3.5-21.8 9.1l.4.5c3 3.8 5.1 8 6.3 12.6Z"}]
c:["$","path",null,{"fill":"#262626","d":"M717.3 40.6c0-15.5 7.9-22.6 19.1-22.6h1.4v5.7h-1.4c-7.8 0-13.1 5.4-13.1 16.9v24.2h-6V40.6Z"}]
d:["$","p",null,{"className":"text-sm text-mist-600 dark:text-mist-400","children":"Interactive calculators that convert visitors into leads."}]
e:["$","$L1c",null,{"el":"a","href":"https://app.activecalculator.com/auth/signup","appearance":"default","label":"Get started free","data-umami-event":"click-cta-footer","data-umami-event-location":"footer"}]
f:["$","nav",null,{"className":"grid grid-cols-2 gap-6 text-sm/7 md:grid-cols-4","children":[["$","div","Use Cases",{"children":[["$","h3",null,{"children":"Use Cases"}],["$","ul",null,{"role":"list","className":"mt-2 flex flex-col gap-2","children":[["$","li","E-Commerce & Retail",{"className":"text-mist-700 dark:text-mist-400","children":["$","$L6",null,{"href":"/templates/category/e-commerce","className":"transition-colors hover:text-mist-950 dark:hover:text-white","children":"E-Commerce & Retail"}]}],["$","li","Finance",{"className":"text-mist-700 dark:text-mist-400","children":["$","$L6",null,{"href":"/templates/category/finance","className":"transition-colors hover:text-mist-950 dark:hover:text-white","children":"Finance"}]}],["$","li","Unit Conversion",{"className":"text-mist-700 dark:text-mist-400","children":["$","$L6",null,{"href":"/templates/category/unit-conversion","className":"transition-colors hover:text-mist-950 dark:hover:text-white","children":"Unit Conversion"}]}],["$","li","Price Quote",{"className":"text-mist-700 dark:text-mist-400","children":["$","$L6",null,{"href":"/templates/category/price-quote","className":"transition-colors hover:text-mist-950 dark:hover:text-white","children":"Price Quote"}]}]]}],[["$","div","Industries",{"className":"mt-6","children":[["$","h3",null,{"children":"Industries"}],["$","ul",null,{"role":"list","className":"mt-2 flex flex-col gap-2","children":[["$","li","Screen Printing",{"className":"text-mist-700 dark:text-mist-400","children":["$","$L6",null,{"href":"/industries/screen-printing","className":"transition-colors hover:text-mist-950 dark:hover:text-white","children":"Screen Printing"}]}],["$","li","Mortgage Brokers",{"className":"text-mist-700 dark:text-mist-400","children":["$","$L6",null,{"href":"/industries/mortgage-brokers","className":"transition-colors hover:text-mist-950 dark:hover:text-white","children":"Mortgage Brokers"}]}],["$","li","Solar Energy",{"className":"text-mist-700 dark:text-mist-400","children":["$","$L6",null,{"href":"/industries/solar-energy","className":"transition-colors hover:text-mist-950 dark:hover:text-white","children":"Solar Energy"}]}]]}]]}]]]}],["$","div","Templates",{"children":[["$","h3",null,{"children":"Templates"}],["$","ul",null,{"role":"list","className":"mt-2 flex flex-col gap-2","children":[["$","li","Ad Spend ROI Calculator",{"className":"text-mist-700 dark:text-mist-400","children":["$","$L6",null,{"href":"/templates/ad-spend-roi-calculator","className":"transition-colors hover:text-mist-950 dark:hover:text-white","children":"Ad Spend ROI Calculator"}]}],["$","li","Amortization Payment Calculator Canada",{"className":"text-mist-700 dark:text-mist-400","children":["$","$L6",null,{"href":"/templates/amortization-payment-calculator-canada","className":"transition-colors hover:text-mist-950 dark:hover:text-white","children":"Amortization Payment Calculator Canada"}]}],["$","li","Amortization Calculator",{"className":"text-mist-700 dark:text-mist-400","children":["$","$L6",null,{"href":"/templates/amortization-calculator","className":"transition-colors hover:text-mist-950 dark:hover:text-white","children":"Amortization Calculator"}]}],["$","li","Balloon Loan Calculator Lead Gen",{"className":"text-mist-700 dark:text-mist-400","children":["$","$L6",null,{"href":"/templates/balloon-loan-calculator-lead-gen","className":"transition-colors hover:text-mist-950 dark:hover:text-white","children":"Balloon Loan Calculator Lead Gen"}]}]]}],"$undefined"]}],["$","div","Product",{"children":[["$","h3",null,{"children":"Product"}],["$","ul",null,{"role":"list","className":"mt-2 flex flex-col gap-2","children":[["$","li","Templates",{"className":"text-mist-700 dark:text-mist-400","children":["$","$L6",null,{"href":"/templates","className":"transition-colors hover:text-mist-950 dark:hover:text-white","children":"Templates"}]}],["$","li","Calculators",{"className":"text-mist-700 dark:text-mist-400","children":["$","$L6",null,{"href":"/calculators","className":"transition-colors hover:text-mist-950 dark:hover:text-white","children":"Calculators"}]}],["$","li","Pricing",{"className":"text-mist-700 dark:text-mist-400","children":"$L1d"}],"$L1e","$L1f","$L20"]}],"$undefined"]}],"$L21"]}]
10:["$","div",null,{"className":"flex flex-col items-start justify-between gap-4 border-t border-mist-950/10 pt-8 text-sm/7 sm:flex-row sm:items-center dark:border-white/10","children":[["$","div",null,{"className":"flex flex-wrap items-center gap-x-4 gap-y-1 text-mist-600 dark:text-mist-500","children":[["$","span",null,{"children":["© ",2026," ActiveCalculator."]}],[["$","$L6","Privacy Policy",{"href":"/privacy","className":"transition-colors hover:text-mist-950 dark:hover:text-white","children":"Privacy Policy"}],["$","$L6","Terms of Service",{"href":"/terms","className":"transition-colors hover:text-mist-950 dark:hover:text-white","children":"Terms of Service"}]]]}],["$","div",null,{"className":"flex items-center gap-4","children":[["$","a","X",{"href":"https://twitter.com/activecalculator","target":"_blank","rel":"noopener noreferrer","aria-label":"X","data-umami-event":"click-social","data-umami-event-location":"footer","data-umami-event-target":"x","className":"text-mist-600 transition-colors *:size-5 hover:text-mist-950 dark:text-mist-500 dark:hover:text-white","children":["$","svg",null,{"width":24,"height":24,"viewBox":"0 0 24 24","fill":"currentColor","role":"image","className":"inline-block","children":["$","path",null,{"d":"M13.6833 10.6218L20.2401 3H18.6864L12.9931 9.61788L8.44583 3H3.20117L10.0775 13.0074L3.20117 21H4.75501L10.7673 14.0113L15.5695 21H20.8141L13.6833 10.6218ZM11.5551 13.0956L10.8584 12.0991L5.31488 4.16971H7.7015L12.1752 10.5689L12.8719 11.5655L18.6871 19.8835H16.3005L11.5551 13.0956Z"}]}]}],["$","a","LinkedIn",{"href":"https://linkedin.com/company/activecalculator","target":"_blank","rel":"noopener noreferrer","aria-label":"LinkedIn","data-umami-event":"click-social","data-umami-event-location":"footer","data-umami-event-target":"linkedin","className":"text-mist-600 transition-colors *:size-5 hover:text-mist-950 dark:text-mist-500 dark:hover:text-white","children":["$","svg",null,{"width":24,"height":24,"viewBox":"0 0 24 24","fill":"currentColor","role":"image","className":"inline-block","children":["$","path",null,{"d":"M20.447 20.452h-3.554v-5.569c0-1.328-.027-3.037-1.852-3.037-1.853 0-2.136 1.445-2.136 2.939v5.667H9.351V9h3.414v1.561h.046c.477-.9 1.637-1.85 3.37-1.85 3.601 0 4.267 2.37 4.267 5.455v6.286zM5.337 7.433a2.062 2.062 0 01-2.063-2.065 2.064 2.064 0 112.063 2.065zm1.782 13.019H3.555V9h3.564v11.452zM22.225 0H1.771C.792 0 0 .774 0 1.729v20.542C0 23.227.792 24 1.771 24h20.451C23.2 24 24 23.227 24 22.271V1.729C24 .774 23.2 0 22.222 0h.003z"}]}]}],["$","a","YouTube",{"href":"https://youtube.com/@activecalculator","target":"_blank","rel":"noopener noreferrer","aria-label":"YouTube","data-umami-event":"click-social","data-umami-event-location":"footer","data-umami-event-target":"youtube","className":"text-mist-600 transition-colors *:size-5 hover:text-mist-950 dark:text-mist-500 dark:hover:text-white","children":["$","svg",null,{"width":24,"height":24,"viewBox":"0 0 24 24","fill":"currentColor","role":"image","className":"inline-block","children":["$","path",null,{"fillRule":"evenodd","d":"M19.812 5.418c.861.23 1.538.907 1.768 1.768C21.998 8.746 22 12 22 12s0 3.255-.418 4.814a2.504 2.504 0 0 1-1.768 1.768c-1.56.419-7.814.419-7.814.419s-6.255 0-7.814-.419a2.505 2.505 0 0 1-1.768-1.768C2 15.255 2 12 2 12s0-3.255.417-4.814a2.507 2.507 0 0 1 1.768-1.768C5.744 5 11.998 5 11.998 5s6.255 0 7.814.418ZM15.194 12 10 15V9l5.194 3Z","clipRule":"evenodd"}]}]}]]}]]}]
11:["$","$L22",null,{}]
12:["$","$L23",null,{"defer":true,"src":"https://analytics.selvo.co/script.js","data-website-id":"20975f57-f91a-4d7f-a72e-bc1f75a733ed","strategy":"afterInteractive"}]
13:["$","$L24",null,{"gtmId":"GTM-N55KJQ5L"}]
14:["$","$1","c",{"children":[null,["$","$L2",null,{"parallelRouterKey":"children","error":"$undefined","errorStyles":"$undefined","errorScripts":"$undefined","template":["$","$L3",null,{}],"templateStyles":"$undefined","templateScripts":"$undefined","notFound":"$undefined","forbidden":"$undefined","unauthorized":"$undefined"}]]}]
15:["$","$1","c",{"children":[null,["$","$L2",null,{"parallelRouterKey":"children","error":"$undefined","errorStyles":"$undefined","errorScripts":"$undefined","template":["$","$L3",null,{}],"templateStyles":"$undefined","templateScripts":"$undefined","notFound":"$undefined","forbidden":"$undefined","unauthorized":"$undefined"}]]}]
16:["$","$1","c",{"children":[null,["$","$L2",null,{"parallelRouterKey":"children","error":"$undefined","errorStyles":"$undefined","errorScripts":"$undefined","template":["$","$L3",null,{}],"templateStyles":"$undefined","templateScripts":"$undefined","notFound":"$undefined","forbidden":"$undefined","unauthorized":"$undefined"}]]}]
17:["$","$1","c",{"children":["$L25",null,["$","$L26",null,{"children":["$","$27",null,{"name":"Next.MetadataOutlet","children":"$@28"}]}]]}]
29:[]
18:"$W29"
19:["$","$1","h",{"children":[null,["$","$L2a",null,{"children":"$L2b"}],["$","div",null,{"hidden":true,"children":["$","$L2c",null,{"children":["$","$27",null,{"name":"Next.Metadata","children":"$L2d"}]}]}],["$","meta",null,{"name":"next-size-adjust","content":""}]]}]
1d:["$","$L6",null,{"href":"/pricing","className":"transition-colors hover:text-mist-950 dark:hover:text-white","children":"Pricing"}]
1e:["$","li","Help",{"className":"text-mist-700 dark:text-mist-400","children":["$","$L6",null,{"href":"/help","className":"transition-colors hover:text-mist-950 dark:hover:text-white","children":"Help"}]}]
1f:["$","li","API",{"className":"text-mist-700 dark:text-mist-400","children":["$","$L6",null,{"href":"https://docs.activecalculator.com/api-reference","target":"_blank","rel":"noopener noreferrer","className":"transition-colors hover:text-mist-950 dark:hover:text-white","children":"API"}]}]
20:["$","li","Embed SDK JS",{"className":"text-mist-700 dark:text-mist-400","children":["$","$L6",null,{"href":"https://docs.activecalculator.com/sdks/embed-sdk/overview","target":"_blank","rel":"noopener noreferrer","className":"transition-colors hover:text-mist-950 dark:hover:text-white","children":"Embed SDK JS"}]}]
21:["$","div","Resources",{"children":[["$","h3",null,{"children":"Resources"}],["$","ul",null,{"role":"list","className":"mt-2 flex flex-col gap-2","children":[["$","li","Terms",{"className":"text-mist-700 dark:text-mist-400","children":["$","$L6",null,{"href":"/terms","className":"transition-colors hover:text-mist-950 dark:hover:text-white","children":"Terms"}]}],["$","li","Privacy",{"className":"text-mist-700 dark:text-mist-400","children":["$","$L6",null,{"href":"/privacy","className":"transition-colors hover:text-mist-950 dark:hover:text-white","children":"Privacy"}]}],["$","li","Book a Call",{"className":"text-mist-700 dark:text-mist-400","children":["$","$L6",null,{"href":"/demo","className":"transition-colors hover:text-mist-950 dark:hover:text-white","children":"Book a Call"}]}],["$","li","Contact",{"className":"text-mist-700 dark:text-mist-400","children":["$","$L6",null,{"href":"/contact","className":"transition-colors hover:text-mist-950 dark:hover:text-white","children":"Contact"}]}],["$","li","Selvo",{"className":"text-mist-700 dark:text-mist-400","children":["$","$L6",null,{"href":"https://selvo.co","target":"_blank","rel":"noopener noreferrer","className":"transition-colors hover:text-mist-950 dark:hover:text-white","children":"Selvo"}]}]]}],"$undefined"]}]
2b:[["$","meta","0",{"charSet":"utf-8"}],["$","meta","1",{"name":"viewport","content":"width=device-width, initial-scale=1"}],["$","meta","2",{"name":"theme-color","content":"#fff"}]]
2e:I[62540,[],"IconMark"]
28:null
2d:[["$","title","0",{"children":"Ellipsoid & Bullet Volume Calculator for Medical Imaging"}],["$","meta","1",{"name":"description","content":"Calculate nodule and organ volumes using ellipsoid (×0.5236) and bullet (×0.6545) formulas. Free tool for ultrasound, CT, and MRI measurements."}],["$","link","2",{"rel":"canonical","href":"https://activecalculator.com/calculators/finance/productivity-calculator"}],["$","meta","3",{"property":"og:title","content":"Ellipsoid & Bullet Volume Calculator for Medical Imaging"}],["$","meta","4",{"property":"og:description","content":"Calculate nodule and organ volumes using ellipsoid (×0.5236) and bullet (×0.6545) formulas. Free tool for ultrasound, CT, and MRI measurements."}],["$","meta","5",{"property":"og:url","content":"https://activecalculator.com/calculators/finance/productivity-calculator"}],["$","meta","6",{"property":"og:site_name","content":"ActiveCalculator"}],["$","meta","7",{"property":"og:locale","content":"en_US"}],["$","meta","8",{"property":"og:image","content":"https://activecalculator.com/api/og/calculator?title=Ellipsoid%20%26%20Bullet%20Volume%20Calculator%20for%20Medical%20Imaging"}],["$","meta","9",{"property":"og:image:width","content":"1200"}],["$","meta","10",{"property":"og:image:height","content":"630"}],["$","meta","11",{"property":"og:image:alt","content":"Ellipsoid & Bullet Volume Calculator for Medical Imaging"}],["$","meta","12",{"property":"og:type","content":"website"}],["$","meta","13",{"name":"twitter:card","content":"summary_large_image"}],["$","meta","14",{"name":"twitter:site","content":"@activecalculator"}],["$","meta","15",{"name":"twitter:creator","content":"@activecalculator"}],["$","meta","16",{"name":"twitter:title","content":"Ellipsoid & Bullet Volume Calculator for Medical Imaging"}],["$","meta","17",{"name":"twitter:description","content":"Calculate nodule and organ volumes using ellipsoid (×0.5236) and bullet (×0.6545) formulas. Free tool for ultrasound, CT, and MRI measurements."}],["$","meta","18",{"name":"twitter:image","content":"https://activecalculator.com/api/og/calculator?title=Ellipsoid%20%26%20Bullet%20Volume%20Calculator%20for%20Medical%20Imaging"}],["$","link","19",{"rel":"icon","href":"/favicon.ico?756f06c5b2066fec","type":"image/x-icon","sizes":"48x48"}],["$","$L2e","20",{}]]
2f:T44d,{"@context":"https://schema.org","@type":"Article","name":"Ellipsoid & Bullet Volume Calculator for Medical Imaging","dateModified":"2026-02-22T12:23:30.550Z","description":"Calculate nodule and organ volumes using ellipsoid (×0.5236) and bullet (×0.6545) formulas. Free tool for ultrasound, CT, and MRI measurements.","author":{"name":"ActiveCalculator","@type":"Organization"},"datePublished":"2026-01-20T08:53:18.546Z","headline":"Ellipsoid & Bullet Volume Calculator for Medical Imaging","image":"https://activecalculator.com/api/og/calculator?title=Ellipsoid%20%26%20Bullet%20Volume%20Calculator%20for%20Medical%20Imaging","mainEntityOfPage":{"@id":"https://activecalculator.com/calculators/finance/productivity-calculator","@type":"WebPage"},"publisher":{"name":"ActiveCalculator","@type":"Organization","logo":{"@type":"ImageObject","height":112,"url":"https://activecalculator.com/logo.png","width":112}},"keywords":"Ellipsoid & Bullet Volume Calculator for Medical Imaging, tool, Finance, Finance calculator","url":"https://activecalculator.com/calculators/finance/productivity-calculator"}30:Tffc,{"@type":"FAQPage","mainEntity":[{"name":"What's the difference between ellipsoid and bullet volume?","@type":"Question","acceptedAnswer":{"@type":"Answer","text":"The ellipsoid formula (×0.5236) models the structure as a symmetrical three-dimensional oval — the standard approach for most rounded masses and cysts. The bullet formula (×0.6545) models the structure as a cylinder with a rounded end, producing a volume about 25% larger than the ellipsoid for the same dimensions. The right choice depends on the shape of the structure you're measuring."}},{"name":"Which formula should I use for thyroid nodules?","@type":"Question","acceptedAnswer":{"@type":"Answer","text":"Use the ellipsoid formula (×0.5236). It's the standard approach in thyroid ultrasound guidelines, including ATA and ACR TI-RADS, and is the formula most commonly cited in the literature for nodule growth criteria."}},{"name":"Which formula is better for prostate measurements?","@type":"Question","acceptedAnswer":{"@type":"Answer","text":"The bullet formula (×0.6545) is preferred for prostate volumetry. The prostate's broader base tapering to a rounded apex is better approximated by the bullet shape, and most urology and radiology guidelines reference the bullet formula for prostate volume calculation."}},{"name":"What do Longitudinal, Transverse, and AP mean?","@type":"Question","acceptedAnswer":{"@type":"Answer","text":"These are standard anatomical imaging terms. Longitudinal is the longest dimension along the structure's main axis. Transverse is the side-to-side (left-right) measurement. AP (anteroposterior) is the depth measurement from front to back. Together, these three orthogonal measurements define the three-dimensional size of the structure."}},{"name":"What units should I use?","@type":"Question","acceptedAnswer":{"@type":"Answer","text":"Enter all measurements in centimeters (cm). The calculator returns volume in cubic centimeters (cc), which is numerically equivalent to milliliters (mL)."}},{"name":"How accurate are these volume formulas?","@type":"Question","acceptedAnswer":{"@type":"Answer","text":"Both are geometric approximations — no formula perfectly captures the true volume of an irregular biological structure. The ellipsoid formula tends to slightly underestimate true volume, while the bullet formula slightly overestimates. For serial follow-up, the most important thing is consistency: always use the same formula across studies to ensure meaningful comparison."}},{"name":"Can I use this calculator for CT or MRI measurements?","@type":"Question","acceptedAnswer":{"@type":"Answer","text":"Yes. The formulas apply equally to measurements from any imaging modality — ultrasound, CT, or MRI. Measure orthogonal dimensions (length, width, and depth) consistently across studies, regardless of the modality."}},{"name":"What counts as significant thyroid nodule growth?","@type":"Question","acceptedAnswer":{"@type":"Answer","text":"ATA guidelines define significant growth as a ≥50% increase in volume or ≥20% increase in at least two dimensions, with a minimum 2 mm increase. For a nodule initially at 1.5 cc, this means a follow-up volume of ≥2.25 cc would meet the volume-based growth criterion."}},{"name":"Can I use this for very small structures?","@type":"Question","acceptedAnswer":{"@type":"Answer","text":"The calculator works for any positive values, but measurement reproducibility decreases significantly for structures under ~5 mm. At that scale, the inherent uncertainty in caliper placement can easily exceed the calculated volume difference — so interpret small-structure volumes with appropriate caution."}},{"name":"Does this calculator handle irregular or lobulated shapes?","@type":"Question","acceptedAnswer":{"@type":"Answer","text":"No. Both formulas assume a regular geometric shape. For highly irregular lesions, 3D volumetric segmentation on a dedicated workstation provides more reliable volume estimates. Formula-based calculations are most reliable for structures with reasonably smooth, oval-to-elongated contours."}}]}25:[["$","script",null,{"dangerouslySetInnerHTML":{"__html":"{\"@context\":\"https://schema.org\",\"@type\":\"BreadcrumbList\",\"itemListElement\":[{\"name\":\"Home\",\"@type\":\"ListItem\",\"item\":\"https://activecalculator.com\",\"position\":1},{\"name\":\"Calculators\",\"@type\":\"ListItem\",\"item\":\"https://activecalculator.com/calculators\",\"position\":2},{\"name\":\"Finance\",\"@type\":\"ListItem\",\"item\":\"https://activecalculator.com/calculators/finance\",\"position\":3},{\"name\":\"Ellipsoid & Bullet Volume Calculator for Medical Imaging\",\"@type\":\"ListItem\",\"item\":\"https://activecalculator.com/calculators/finance/productivity-calculator\",\"position\":4}]}"},"type":"application/ld+json"}],["$","script",null,{"dangerouslySetInnerHTML":{"__html":"$2f"},"type":"application/ld+json"}],["$","script",null,{"dangerouslySetInnerHTML":{"__html":"$30"},"type":"application/ld+json"}],"$L31"]
32:I[65569,["9310","static/chunks/f8d55a4d-f82e876c81147bfd.js","6956","static/chunks/66a6e935-aee5d3cb85c323ac.js","7821","static/chunks/7821-fecf606f47f1f58d.js","8963","static/chunks/8963-69c253eec8d741c5.js","9858","static/chunks/9858-f1918ded0530ca69.js","609","static/chunks/609-95e41ae6a69b88b2.js","2456","static/chunks/2456-94cb89c116d69dd0.js","994","static/chunks/994-2c56ebb2d663b523.js","6472","static/chunks/6472-2ee935ddbae5821a.js","3349","static/chunks/app/(frontend)/calculators/%5Bcategory%5D/%5Bslug%5D/page-70bb6ad84377852d.js"],"JumplistProvider"]
33:I[52456,["9310","static/chunks/f8d55a4d-f82e876c81147bfd.js","6956","static/chunks/66a6e935-aee5d3cb85c323ac.js","7821","static/chunks/7821-fecf606f47f1f58d.js","8963","static/chunks/8963-69c253eec8d741c5.js","9858","static/chunks/9858-f1918ded0530ca69.js","609","static/chunks/609-95e41ae6a69b88b2.js","2456","static/chunks/2456-94cb89c116d69dd0.js","994","static/chunks/994-2c56ebb2d663b523.js","6472","static/chunks/6472-2ee935ddbae5821a.js","3349","static/chunks/app/(frontend)/calculators/%5Bcategory%5D/%5Bslug%5D/page-70bb6ad84377852d.js"],"RichText"]
34:I[52924,["9310","static/chunks/f8d55a4d-f82e876c81147bfd.js","6956","static/chunks/66a6e935-aee5d3cb85c323ac.js","7821","static/chunks/7821-fecf606f47f1f58d.js","8963","static/chunks/8963-69c253eec8d741c5.js","9858","static/chunks/9858-f1918ded0530ca69.js","609","static/chunks/609-95e41ae6a69b88b2.js","2456","static/chunks/2456-94cb89c116d69dd0.js","994","static/chunks/994-2c56ebb2d663b523.js","6472","static/chunks/6472-2ee935ddbae5821a.js","3349","static/chunks/app/(frontend)/calculators/%5Bcategory%5D/%5Bslug%5D/page-70bb6ad84377852d.js"],"ShareButtons"]
35:I[56472,["9310","static/chunks/f8d55a4d-f82e876c81147bfd.js","6956","static/chunks/66a6e935-aee5d3cb85c323ac.js","7821","static/chunks/7821-fecf606f47f1f58d.js","8963","static/chunks/8963-69c253eec8d741c5.js","9858","static/chunks/9858-f1918ded0530ca69.js","609","static/chunks/609-95e41ae6a69b88b2.js","2456","static/chunks/2456-94cb89c116d69dd0.js","994","static/chunks/994-2c56ebb2d663b523.js","6472","static/chunks/6472-2ee935ddbae5821a.js","3349","static/chunks/app/(frontend)/calculators/%5Bcategory%5D/%5Bslug%5D/page-70bb6ad84377852d.js"],"RenderBlocks"]
31:["$","div",null,{"className":"min-h-screen bg-white","children":["$","$L32",null,{"children":["$","div",null,{"className":"py-10 lg:py-12 container","children":[["$","div",null,{"className":"mb-6","children":["$","div",null,{"className":"flex items-center flex-wrap gap-1 text-mist-600","children":[["$","$L6",null,{"className":"typo-small font-medium hover:text-blue-600 transition-colors duration-200","href":"/calculators","children":"Calculators"}],["$","svg",null,{"className":"text-mist-600","fill":"none","height":"16","stroke":"currentColor","strokeLinecap":"round","strokeLinejoin":"round","strokeWidth":"2","viewBox":"0 0 24 24","width":"16","xmlns":"http://www.w3.org/2000/svg","children":["$","polyline",null,{"points":"9 18 15 12 9 6"}]}],["$","$L6",null,{"className":"typo-small font-medium hover:text-blue-600 transition-colors duration-200","href":"/calculators/finance","children":"Finance"}]]}]}],["$","div",null,{"className":"mb-8","children":[["$","h1",null,{"className":"typo-title mb-4 text-mist-950","children":"Ellipsoid & Bullet Volume Calculator for Medical Imaging"}],["$","div",null,{"className":"text-mist-600 typo-normal max-w-2xl mb-4","children":["$","$L33",null,{"content":{"root":{"children":[{"children":[{"detail":0,"format":0,"mode":"normal","style":"","text":"Calculate lesion and organ volume from three measurements using ellipsoid and bullet formulas. Free radiology volume calculator for ultrasound, CT, and MRI.","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"paragraph","version":1,"textFormat":0,"textStyle":""}],"direction":null,"format":"","indent":0,"type":"root","version":1}}}]}],["$","div",null,{"className":"flex mt-4","children":["$","$L34",null,{"variant":"full","title":"Ellipsoid & Bullet Volume Calculator for Medical Imaging"}]}]]}],false,["$","div",null,{"className":"grid grid-cols-1 lg:grid-cols-6 gap-8","children":[["$","div",null,{"className":"lg:col-span-4","children":[["$","div",null,{"className":"bg-white rounded-lg shadow-sm p-8 mb-6","children":["$","$L35",null,{"blocks":[{"blockType":"blogContent","blogContentFields":{"settings":{"background":"default","paddingTop":"medium","paddingBottom":"medium"},"richText":{"root":{"children":[{"children":[{"detail":0,"format":0,"mode":"normal","style":"","text":"This ellipsoid and bullet volume calculator gives you instant volume measurements for structures measured on ultrasound, CT, or MRI. Enter three orthogonal dimensions — length, width, and height — and the calculator returns both the ellipsoid volume and bullet volume in cubic centimeters (cc), letting you choose the formula that best fits the structure you're measuring.","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"paragraph","version":1,"textFormat":0,"textStyle":""},{"children":[{"detail":0,"format":0,"mode":"normal","style":"","text":"Whether you're documenting thyroid nodule growth over serial imaging, estimating prostate volume for PSA density, or sizing a cyst or lymph node anywhere in the body, having both calculations side-by-side means you can apply the right formula for your clinical context without switching tools.","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"paragraph","version":1,"textFormat":0,"textStyle":""},{"children":[{"detail":0,"format":0,"mode":"normal","style":"","text":"What Is Ellipsoid Volume in Medical Imaging?","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"heading","version":1,"tag":"h2"},{"children":[{"detail":0,"format":0,"mode":"normal","style":"","text":"In radiology and diagnostic ultrasound, most anatomical structures and lesions can be approximated as either an ","type":"text","version":1},{"detail":0,"format":1,"mode":"normal","style":"","text":"ellipsoid","type":"text","version":1},{"detail":0,"format":0,"mode":"normal","style":"","text":" (a three-dimensional oval) or a ","type":"text","version":1},{"detail":0,"format":1,"mode":"normal","style":"","text":"bullet","type":"text","version":1},{"detail":0,"format":0,"mode":"normal","style":"","text":" (a cylinder capped with a half ellipsoid). Neither shape perfectly represents a real biological structure, but both formulas produce reproducible, clinically validated estimates that are widely used across imaging specialties and referenced in major clinical guidelines.","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"paragraph","version":1,"textFormat":0,"textStyle":""},{"children":[{"detail":0,"format":0,"mode":"normal","style":"","text":"The ","type":"text","version":1},{"detail":0,"format":1,"mode":"normal","style":"","text":"ellipsoid formula","type":"text","version":1},{"detail":0,"format":0,"mode":"normal","style":"","text":" treats a structure as a perfect three-dimensional oval. It multiplies all three dimensions together and scales by π/6 (approximately 0.5236). This is the standard approach for most rounded or oval-shaped structures — nodules, cysts, and solid masses with roughly equal dimensions in all directions.","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"paragraph","version":1,"textFormat":0,"textStyle":""},{"children":[{"detail":0,"format":0,"mode":"normal","style":"","text":"The ","type":"text","version":1},{"detail":0,"format":1,"mode":"normal","style":"","text":"bullet formula","type":"text","version":1},{"detail":0,"format":0,"mode":"normal","style":"","text":" treats the structure as more elongated — shaped like a cylinder with one rounded end. It applies a larger scaling factor of 5π/24 (approximately 0.6545), producing a volume estimate about 25% higher than the ellipsoid formula for identical measurements. This makes it a better fit for structures that are longer than they are wide, or that taper toward one end.","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"paragraph","version":1,"textFormat":0,"textStyle":""},{"children":[{"detail":0,"format":0,"mode":"normal","style":"","text":"The Formulas","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"heading","version":1,"tag":"h2"},{"children":[{"detail":0,"format":0,"mode":"normal","style":"","text":"Both formulas use the same three measurements:","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"paragraph","version":1,"textFormat":0,"textStyle":""},{"type":"table","children":[{"type":"tablerow","children":[{"type":"tablecell","children":[{"type":"paragraph","children":[{"type":"text","text":"Formula","format":0,"style":"","detail":0,"mode":"normal","version":1}],"direction":"ltr","format":"","indent":0,"textFormat":0,"textStyle":"","version":1}],"direction":"ltr","format":"","indent":0,"version":1,"backgroundColor":null,"colSpan":1,"headerState":1,"rowSpan":1},{"type":"tablecell","children":[{"type":"paragraph","children":[{"type":"text","text":"Equation","format":0,"style":"","detail":0,"mode":"normal","version":1}],"direction":"ltr","format":"","indent":0,"textFormat":0,"textStyle":"","version":1}],"direction":"ltr","format":"","indent":0,"version":1,"backgroundColor":null,"colSpan":1,"headerState":1,"rowSpan":1},{"type":"tablecell","children":[{"type":"paragraph","children":[{"type":"text","text":"Coefficient","format":0,"style":"","detail":0,"mode":"normal","version":1}],"direction":"ltr","format":"","indent":0,"textFormat":0,"textStyle":"","version":1}],"direction":"ltr","format":"","indent":0,"version":1,"backgroundColor":null,"colSpan":1,"headerState":1,"rowSpan":1}],"direction":"ltr","format":"","indent":0,"version":1},{"type":"tablerow","children":[{"type":"tablecell","children":[{"type":"paragraph","children":[{"type":"text","text":"Ellipsoid Volume","format":0,"style":"","detail":0,"mode":"normal","version":1}],"direction":"ltr","format":"","indent":0,"textFormat":0,"textStyle":"","version":1}],"direction":"ltr","format":"","indent":0,"version":1,"backgroundColor":null,"colSpan":1,"headerState":0,"rowSpan":1},{"type":"tablecell","children":[{"type":"paragraph","children":[{"type":"text","text":"L × W × H × π/6","format":0,"style":"","detail":0,"mode":"normal","version":1}],"direction":"ltr","format":"","indent":0,"textFormat":0,"textStyle":"","version":1}],"direction":"ltr","format":"","indent":0,"version":1,"backgroundColor":null,"colSpan":1,"headerState":0,"rowSpan":1},{"type":"tablecell","children":[{"type":"paragraph","children":[{"type":"text","text":"0.5236","format":0,"style":"","detail":0,"mode":"normal","version":1}],"direction":"ltr","format":"","indent":0,"textFormat":0,"textStyle":"","version":1}],"direction":"ltr","format":"","indent":0,"version":1,"backgroundColor":null,"colSpan":1,"headerState":0,"rowSpan":1}],"direction":"ltr","format":"","indent":0,"version":1},{"type":"tablerow","children":[{"type":"tablecell","children":[{"type":"paragraph","children":[{"type":"text","text":"Bullet Volume","format":0,"style":"","detail":0,"mode":"normal","version":1}],"direction":"ltr","format":"","indent":0,"textFormat":0,"textStyle":"","version":1}],"direction":"ltr","format":"","indent":0,"version":1,"backgroundColor":null,"colSpan":1,"headerState":0,"rowSpan":1},{"type":"tablecell","children":[{"type":"paragraph","children":[{"type":"text","text":"L × W × H × 5π/24","format":0,"style":"","detail":0,"mode":"normal","version":1}],"direction":"ltr","format":"","indent":0,"textFormat":0,"textStyle":"","version":1}],"direction":"ltr","format":"","indent":0,"version":1,"backgroundColor":null,"colSpan":1,"headerState":0,"rowSpan":1},{"type":"tablecell","children":[{"type":"paragraph","children":[{"type":"text","text":"0.6545","format":0,"style":"","detail":0,"mode":"normal","version":1}],"direction":"ltr","format":"","indent":0,"textFormat":0,"textStyle":"","version":1}],"direction":"ltr","format":"","indent":0,"version":1,"backgroundColor":null,"colSpan":1,"headerState":0,"rowSpan":1}],"direction":"ltr","format":"","indent":0,"version":1}],"direction":"ltr","format":"","indent":0,"version":1},{"children":[{"detail":0,"format":1,"mode":"normal","style":"","text":"Ellipsoid volume = L × W × H × 0.5236","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"paragraph","version":1,"textFormat":0,"textStyle":""},{"children":[{"detail":0,"format":0,"mode":"normal","style":"","text":"This is mathematically equivalent to the classical ellipsoid formula V = (4/3) × π × a × b × c, where a, b, and c are the three semi-axes (each dimension divided by 2).","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"paragraph","version":1,"textFormat":0,"textStyle":""},{"children":[{"detail":0,"format":1,"mode":"normal","style":"","text":"Bullet volume = L × W × H × 0.6545","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"paragraph","version":1,"textFormat":0,"textStyle":""},{"children":[{"detail":0,"format":0,"mode":"normal","style":"","text":"This represents the combined volume of a cylinder (the main body) plus a half ellipsoid (the rounded end). The bullet shape better approximates structures with a flat base and a rounded apex — most notably the prostate gland.","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"paragraph","version":1,"textFormat":0,"textStyle":""},{"children":[{"detail":0,"format":0,"mode":"normal","style":"","text":"Worked Example","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"heading","version":1,"tag":"h3"},{"children":[{"detail":0,"format":0,"mode":"normal","style":"","text":"For a structure measuring 3.0 cm × 2.5 cm × 2.0 cm:","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"paragraph","version":1,"textFormat":0,"textStyle":""},{"children":[{"children":[{"detail":0,"format":1,"mode":"normal","style":"","text":"Ellipsoid volume:","type":"text","version":1},{"detail":0,"format":0,"mode":"normal","style":"","text":" 3.0 × 2.5 × 2.0 × 0.5236 = ","type":"text","version":1},{"detail":0,"format":1,"mode":"normal","style":"","text":"7.85 cc","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"listitem","version":1,"value":1},{"children":[{"detail":0,"format":1,"mode":"normal","style":"","text":"Bullet volume:","type":"text","version":1},{"detail":0,"format":0,"mode":"normal","style":"","text":" 3.0 × 2.5 × 2.0 × 0.6545 = ","type":"text","version":1},{"detail":0,"format":1,"mode":"normal","style":"","text":"9.82 cc","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"listitem","version":1,"value":2}],"direction":null,"format":"","indent":0,"type":"list","version":1,"listType":"bullet","start":1,"tag":"ul"},{"children":[{"detail":0,"format":0,"mode":"normal","style":"","text":"That ~2 cc difference matters clinically — particularly when tracking volume change over time or calculating PSA density.","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"paragraph","version":1,"textFormat":0,"textStyle":""},{"children":[{"detail":0,"format":0,"mode":"normal","style":"","text":"Which Dimensions to Enter","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"heading","version":1,"tag":"h2"},{"children":[{"detail":0,"format":0,"mode":"normal","style":"","text":"The three input fields use standard anatomical orientation terms:","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"paragraph","version":1,"textFormat":0,"textStyle":""},{"children":[{"children":[{"detail":0,"format":1,"mode":"normal","style":"","text":"Length (Longitudinal):","type":"text","version":1},{"detail":0,"format":0,"mode":"normal","style":"","text":" The longest measured dimension, along the structure's long axis","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"listitem","version":1,"value":1},{"children":[{"detail":0,"format":1,"mode":"normal","style":"","text":"Width (Transverse):","type":"text","version":1},{"detail":0,"format":0,"mode":"normal","style":"","text":" The side-to-side (left-right) measurement","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"listitem","version":1,"value":2},{"children":[{"detail":0,"format":1,"mode":"normal","style":"","text":"Height (AP):","type":"text","version":1},{"detail":0,"format":0,"mode":"normal","style":"","text":" The anteroposterior dimension — front to back","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"listitem","version":1,"value":3}],"direction":null,"format":"","indent":0,"type":"list","version":1,"listType":"bullet","start":1,"tag":"ul"},{"children":[{"detail":0,"format":0,"mode":"normal","style":"","text":"For ultrasound, you'll typically obtain these three measurements across transverse and sagittal planes. On CT or MRI, axial, coronal, and sagittal reconstructions provide all three dimensions.","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"paragraph","version":1,"textFormat":0,"textStyle":""},{"children":[{"detail":0,"format":0,"mode":"normal","style":"","text":"Enter all measurements in ","type":"text","version":1},{"detail":0,"format":1,"mode":"normal","style":"","text":"centimeters (cm)","type":"text","version":1},{"detail":0,"format":0,"mode":"normal","style":"","text":". The calculator returns volume in ","type":"text","version":1},{"detail":0,"format":1,"mode":"normal","style":"","text":"cubic centimeters (cc)","type":"text","version":1},{"detail":0,"format":0,"mode":"normal","style":"","text":", which is numerically equal to milliliters (mL).","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"paragraph","version":1,"textFormat":0,"textStyle":""},{"children":[{"detail":0,"format":0,"mode":"normal","style":"","text":"How to Use This Calculator","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"heading","version":1,"tag":"h2"},{"children":[{"children":[{"detail":0,"format":1,"mode":"normal","style":"","text":"Enter Length (Longitudinal):","type":"text","version":1},{"detail":0,"format":0,"mode":"normal","style":"","text":" Type the longest measured dimension in centimeters.","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"listitem","version":1,"value":1},{"children":[{"detail":0,"format":1,"mode":"normal","style":"","text":"Enter Width (Transverse):","type":"text","version":1},{"detail":0,"format":0,"mode":"normal","style":"","text":" Input the transverse (left-to-right) measurement in centimeters.","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"listitem","version":1,"value":2},{"children":[{"detail":0,"format":1,"mode":"normal","style":"","text":"Enter Height (AP):","type":"text","version":1},{"detail":0,"format":0,"mode":"normal","style":"","text":" Input the anteroposterior (front-to-back) depth in centimeters.","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"listitem","version":1,"value":3},{"children":[{"detail":0,"format":1,"mode":"normal","style":"","text":"Read the results:","type":"text","version":1},{"detail":0,"format":0,"mode":"normal","style":"","text":" Both Ellipsoid Volume and Bullet Volume update instantly — no submit button needed.","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"listitem","version":1,"value":4},{"children":[{"detail":0,"format":1,"mode":"normal","style":"","text":"Select the appropriate value:","type":"text","version":1},{"detail":0,"format":0,"mode":"normal","style":"","text":" Use the formula that matches your clinical context (see Clinical Applications below).","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"listitem","version":1,"value":5}],"direction":null,"format":"","indent":0,"type":"list","version":1,"listType":"number","start":1,"tag":"ol"},{"children":[{"detail":0,"format":0,"mode":"normal","style":"","text":"Clinical Applications","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"heading","version":1,"tag":"h2"},{"children":[{"detail":0,"format":0,"mode":"normal","style":"","text":"Thyroid Nodule Volumetry","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"heading","version":1,"tag":"h3"},{"children":[{"detail":0,"format":0,"mode":"normal","style":"","text":"For thyroid nodules, the ","type":"text","version":1},{"detail":0,"format":1,"mode":"normal","style":"","text":"ellipsoid formula","type":"text","version":1},{"detail":0,"format":0,"mode":"normal","style":"","text":" is the standard choice and aligns with American Thyroid Association (ATA) and ACR TI-RADS guidelines. A nodule volume increase of ≥50% (with at least a 2 mm increase in two dimensions) is the commonly referenced threshold for significant interval growth.","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"paragraph","version":1,"textFormat":0,"textStyle":""},{"children":[{"detail":0,"format":0,"mode":"normal","style":"","text":"The ATA's official change calculator uses a simplified \"half cube\" coefficient (×0.5) rather than the full ellipsoid (×0.5236), but the ellipsoid formula is the more precise approach and is widely used in the thyroid imaging literature.","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"paragraph","version":1,"textFormat":0,"textStyle":""},{"children":[{"detail":0,"format":0,"mode":"normal","style":"","text":"Prostate Volume","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"heading","version":1,"tag":"h3"},{"children":[{"detail":0,"format":0,"mode":"normal","style":"","text":"For prostate volumetry on transrectal ultrasound (TRUS), transperineal ultrasound, or MRI, the ","type":"text","version":1},{"detail":0,"format":1,"mode":"normal","style":"","text":"bullet formula","type":"text","version":1},{"detail":0,"format":0,"mode":"normal","style":"","text":" (×0.6545) is generally preferred. The prostate's geometry — broader at the base and tapering toward the apex — more closely resembles a bullet than a symmetrical ellipsoid.","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"paragraph","version":1,"textFormat":0,"textStyle":""},{"children":[{"detail":0,"format":0,"mode":"normal","style":"","text":"Prostate volume is clinically significant for:","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"paragraph","version":1,"textFormat":0,"textStyle":""},{"children":[{"children":[{"detail":0,"format":1,"mode":"normal","style":"","text":"PSA density","type":"text","version":1},{"detail":0,"format":0,"mode":"normal","style":"","text":" (PSA ÷ prostate volume; values >0.15 ng/mL/cc are associated with increased cancer risk)","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"listitem","version":1,"value":1},{"children":[{"detail":0,"format":1,"mode":"normal","style":"","text":"BPH staging and treatment planning","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"listitem","version":1,"value":2},{"children":[{"detail":0,"format":1,"mode":"normal","style":"","text":"Radiation and focal therapy dosimetry","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"listitem","version":1,"value":3}],"direction":null,"format":"","indent":0,"type":"list","version":1,"listType":"bullet","start":1,"tag":"ul"},{"children":[{"detail":0,"format":0,"mode":"normal","style":"","text":"Other Organs and Lesions","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"heading","version":1,"tag":"h3"},{"children":[{"detail":0,"format":0,"mode":"normal","style":"","text":"The ellipsoid formula is routinely applied across a wide range of imaging contexts:","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"paragraph","version":1,"textFormat":0,"textStyle":""},{"children":[{"children":[{"detail":0,"format":1,"mode":"normal","style":"","text":"Lymph nodes","type":"text","version":1},{"detail":0,"format":0,"mode":"normal","style":"","text":" — volume documentation for staging or treatment response","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"listitem","version":1,"value":1},{"children":[{"detail":0,"format":1,"mode":"normal","style":"","text":"Renal cysts and masses","type":"text","version":1},{"detail":0,"format":0,"mode":"normal","style":"","text":" — interval comparison on follow-up imaging","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"listitem","version":1,"value":2},{"children":[{"detail":0,"format":1,"mode":"normal","style":"","text":"Ovarian cysts and follicles","type":"text","version":1},{"detail":0,"format":0,"mode":"normal","style":"","text":" — fertility monitoring and mass characterization","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"listitem","version":1,"value":3},{"children":[{"detail":0,"format":1,"mode":"normal","style":"","text":"Hepatic and splenic lesions","type":"text","version":1},{"detail":0,"format":0,"mode":"normal","style":"","text":" — size tracking and treatment assessment","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"listitem","version":1,"value":4},{"children":[{"detail":0,"format":1,"mode":"normal","style":"","text":"Adrenal nodules","type":"text","version":1},{"detail":0,"format":0,"mode":"normal","style":"","text":" — volume documentation alongside density measurements","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"listitem","version":1,"value":5},{"children":[{"detail":0,"format":1,"mode":"normal","style":"","text":"Parotid and salivary gland masses","type":"text","version":1},{"detail":0,"format":0,"mode":"normal","style":"","text":" — pre-surgical planning","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"listitem","version":1,"value":6}],"direction":null,"format":"","indent":0,"type":"list","version":1,"listType":"bullet","start":1,"tag":"ul"},{"children":[{"detail":0,"format":0,"mode":"normal","style":"","text":"Practical Examples","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"heading","version":1,"tag":"h2"},{"children":[{"detail":0,"format":0,"mode":"normal","style":"","text":"Example 1: Thyroid Nodule Follow-Up","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"heading","version":1,"tag":"h3"},{"children":[{"detail":0,"format":0,"mode":"normal","style":"","text":"A patient has a thyroid nodule initially measuring ","type":"text","version":1},{"detail":0,"format":1,"mode":"normal","style":"","text":"1.8 × 1.2 × 1.0 cm","type":"text","version":1},{"detail":0,"format":0,"mode":"normal","style":"","text":":","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"paragraph","version":1,"textFormat":0,"textStyle":""},{"children":[{"children":[{"detail":0,"format":0,"mode":"normal","style":"","text":"Initial volume: 1.8 × 1.2 × 1.0 × 0.5236 = ","type":"text","version":1},{"detail":0,"format":1,"mode":"normal","style":"","text":"1.13 cc","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"listitem","version":1,"value":1}],"direction":null,"format":"","indent":0,"type":"list","version":1,"listType":"bullet","start":1,"tag":"ul"},{"children":[{"detail":0,"format":0,"mode":"normal","style":"","text":"On follow-up ultrasound 12 months later, the nodule measures ","type":"text","version":1},{"detail":0,"format":1,"mode":"normal","style":"","text":"2.2 × 1.4 × 1.2 cm","type":"text","version":1},{"detail":0,"format":0,"mode":"normal","style":"","text":":","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"paragraph","version":1,"textFormat":0,"textStyle":""},{"children":[{"children":[{"detail":0,"format":0,"mode":"normal","style":"","text":"Follow-up volume: 2.2 × 1.4 × 1.2 × 0.5236 = ","type":"text","version":1},{"detail":0,"format":1,"mode":"normal","style":"","text":"1.94 cc","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"listitem","version":1,"value":1}],"direction":null,"format":"","indent":0,"type":"list","version":1,"listType":"bullet","start":1,"tag":"ul"},{"children":[{"detail":0,"format":0,"mode":"normal","style":"","text":"Volume increase: ~72% — exceeding the ≥50% threshold for significant growth and warranting clinical re-evaluation.","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"paragraph","version":1,"textFormat":0,"textStyle":""},{"children":[{"detail":0,"format":0,"mode":"normal","style":"","text":"Example 2: Prostate Volume for PSA Density","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"heading","version":1,"tag":"h3"},{"children":[{"detail":0,"format":0,"mode":"normal","style":"","text":"A patient's prostate measures ","type":"text","version":1},{"detail":0,"format":1,"mode":"normal","style":"","text":"5.0 × 4.0 × 3.5 cm","type":"text","version":1},{"detail":0,"format":0,"mode":"normal","style":"","text":" on TRUS:","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"paragraph","version":1,"textFormat":0,"textStyle":""},{"children":[{"children":[{"detail":0,"format":0,"mode":"normal","style":"","text":"Bullet volume: 5.0 × 4.0 × 3.5 × 0.6545 = ","type":"text","version":1},{"detail":0,"format":1,"mode":"normal","style":"","text":"45.8 cc","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"listitem","version":1,"value":1},{"children":[{"detail":0,"format":0,"mode":"normal","style":"","text":"If PSA is 3.2 ng/mL: PSA density = 3.2 ÷ 45.8 = ","type":"text","version":1},{"detail":0,"format":1,"mode":"normal","style":"","text":"0.070 ng/mL/cc","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"listitem","version":1,"value":2}],"direction":null,"format":"","indent":0,"type":"list","version":1,"listType":"bullet","start":1,"tag":"ul"},{"children":[{"detail":0,"format":0,"mode":"normal","style":"","text":"That result falls below the 0.15 threshold, providing useful reassurance in clinical context.","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"paragraph","version":1,"textFormat":0,"textStyle":""},{"children":[{"detail":0,"format":0,"mode":"normal","style":"","text":"Example 3: Renal Cyst on Follow-Up CT","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"heading","version":1,"tag":"h3"},{"children":[{"detail":0,"format":0,"mode":"normal","style":"","text":"A simple renal cyst measures ","type":"text","version":1},{"detail":0,"format":1,"mode":"normal","style":"","text":"4.5 × 3.8 × 3.2 cm","type":"text","version":1},{"detail":0,"format":0,"mode":"normal","style":"","text":":","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"paragraph","version":1,"textFormat":0,"textStyle":""},{"children":[{"children":[{"detail":0,"format":0,"mode":"normal","style":"","text":"Ellipsoid volume: 4.5 × 3.8 × 3.2 × 0.5236 = ","type":"text","version":1},{"detail":0,"format":1,"mode":"normal","style":"","text":"28.7 cc","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"listitem","version":1,"value":1}],"direction":null,"format":"","indent":0,"type":"list","version":1,"listType":"bullet","start":1,"tag":"ul"},{"children":[{"detail":0,"format":0,"mode":"normal","style":"","text":"Volume documentation allows precise comparison on future scans — far more reproducible than tracking a single dimension.","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"paragraph","version":1,"textFormat":0,"textStyle":""},{"children":[{"detail":0,"format":0,"mode":"normal","style":"","text":"Example 4: Cervical Lymph Node","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"heading","version":1,"tag":"h3"},{"children":[{"detail":0,"format":0,"mode":"normal","style":"","text":"An enlarged cervical lymph node measures ","type":"text","version":1},{"detail":0,"format":1,"mode":"normal","style":"","text":"2.0 × 1.2 × 1.0 cm","type":"text","version":1},{"detail":0,"format":0,"mode":"normal","style":"","text":":","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"paragraph","version":1,"textFormat":0,"textStyle":""},{"children":[{"children":[{"detail":0,"format":0,"mode":"normal","style":"","text":"Ellipsoid volume: 2.0 × 1.2 × 1.0 × 0.5236 = ","type":"text","version":1},{"detail":0,"format":1,"mode":"normal","style":"","text":"1.26 cc","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"listitem","version":1,"value":1},{"children":[{"detail":0,"format":0,"mode":"normal","style":"","text":"Bullet volume: 2.0 × 1.2 × 1.0 × 0.6545 = ","type":"text","version":1},{"detail":0,"format":1,"mode":"normal","style":"","text":"1.57 cc","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"listitem","version":1,"value":2}],"direction":null,"format":"","indent":0,"type":"list","version":1,"listType":"bullet","start":1,"tag":"ul"},{"children":[{"detail":0,"format":0,"mode":"normal","style":"","text":"Recording both values in the report gives the treating team a complete baseline for treatment response assessment.","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"paragraph","version":1,"textFormat":0,"textStyle":""},{"children":[{"detail":0,"format":0,"mode":"normal","style":"","text":"Technical Notes","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"heading","version":1,"tag":"h2"},{"children":[{"detail":0,"format":1,"mode":"normal","style":"","text":"Ellipsoid formula:","type":"text","version":1},{"detail":0,"format":0,"mode":"normal","style":"","text":" V = L × W × H × π/6 ≈ L × W × H × 0.5236","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"paragraph","version":1,"textFormat":0,"textStyle":""},{"children":[{"detail":0,"format":0,"mode":"normal","style":"","text":"Mathematically equivalent to V = (4/3) × π × a × b × c, where a, b, c are the three semi-axes. π/6 ≈ 0.5236.","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"paragraph","version":1,"textFormat":0,"textStyle":""},{"children":[{"detail":0,"format":1,"mode":"normal","style":"","text":"Bullet formula:","type":"text","version":1},{"detail":0,"format":0,"mode":"normal","style":"","text":" V = L × W × H × 5π/24 ≈ L × W × H × 0.6545","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"paragraph","version":1,"textFormat":0,"textStyle":""},{"children":[{"detail":0,"format":0,"mode":"normal","style":"","text":"Represents the composite volume of a cylinder plus a half ellipsoid. 5π/24 ≈ 0.6545.","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"paragraph","version":1,"textFormat":0,"textStyle":""},{"children":[{"detail":0,"format":1,"mode":"normal","style":"","text":"Important note on measurement error:","type":"text","version":1},{"detail":0,"format":0,"mode":"normal","style":"","text":" Volume scales as the product of three linear dimensions. A 10% error in each dimension compounds to approximately 33% error in the calculated volume. Careful, reproducible caliper placement is essential for clinically meaningful volumetric tracking.","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"paragraph","version":1,"textFormat":0,"textStyle":""},{"children":[{"detail":0,"format":2,"mode":"normal","style":"","text":"This calculator is provided for clinical reference. All measurements and volume estimates should be interpreted in clinical context and in accordance with applicable imaging guidelines and institutional protocols.","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"paragraph","version":1,"textFormat":0,"textStyle":""}],"direction":null,"format":"","indent":0,"type":"root","version":1}}},"id":"699af51ee944a00004dc3398"}]}]}],"$L36"]}],"$L37"]}]]}]}]}]
3d:I[51318,["9310","static/chunks/f8d55a4d-f82e876c81147bfd.js","6956","static/chunks/66a6e935-aee5d3cb85c323ac.js","7821","static/chunks/7821-fecf606f47f1f58d.js","8963","static/chunks/8963-69c253eec8d741c5.js","9858","static/chunks/9858-f1918ded0530ca69.js","609","static/chunks/609-95e41ae6a69b88b2.js","2456","static/chunks/2456-94cb89c116d69dd0.js","994","static/chunks/994-2c56ebb2d663b523.js","6472","static/chunks/6472-2ee935ddbae5821a.js","3349","static/chunks/app/(frontend)/calculators/%5Bcategory%5D/%5Bslug%5D/page-70bb6ad84377852d.js"],"Calculator"]
36:["$","div",null,{"className":"bg-white rounded-lg shadow-sm p-8","children":[["$","h2",null,{"className":"typo-large mb-6 text-mist-950","children":"Frequently Asked Questions"}],["$","div",null,{"className":"space-y-6","children":[["$","div","0",{"className":"pb-6 last:pb-0","children":[["$","h3",null,{"className":"text-lg font-medium text-mist-950 mb-3","children":"What's the difference between ellipsoid and bullet volume?"}],["$","div",null,{"className":"prose max-w-none text-mist-600","children":["$","$L33",null,{"content":{"root":{"children":[{"children":[{"detail":0,"format":0,"mode":"normal","style":"","text":"The ellipsoid formula (×0.5236) models the structure as a symmetrical three-dimensional oval — the standard approach for most rounded masses and cysts. The bullet formula (×0.6545) models the structure as a cylinder with a rounded end, producing a volume about 25% larger than the ellipsoid for the same dimensions. The right choice depends on the shape of the structure you're measuring.","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"paragraph","version":1,"textFormat":0,"textStyle":""}],"direction":null,"format":"","indent":0,"type":"root","version":1}}}]}]]}],["$","div","1",{"className":"pb-6 last:pb-0","children":[["$","h3",null,{"className":"text-lg font-medium text-mist-950 mb-3","children":"Which formula should I use for thyroid nodules?"}],["$","div",null,{"className":"prose max-w-none text-mist-600","children":["$","$L33",null,{"content":{"root":{"children":[{"children":[{"detail":0,"format":0,"mode":"normal","style":"","text":"Use the ellipsoid formula (×0.5236). It's the standard approach in thyroid ultrasound guidelines, including ATA and ACR TI-RADS, and is the formula most commonly cited in the literature for nodule growth criteria.","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"paragraph","version":1,"textFormat":0,"textStyle":""}],"direction":null,"format":"","indent":0,"type":"root","version":1}}}]}]]}],["$","div","2",{"className":"pb-6 last:pb-0","children":[["$","h3",null,{"className":"text-lg font-medium text-mist-950 mb-3","children":"Which formula is better for prostate measurements?"}],["$","div",null,{"className":"prose max-w-none text-mist-600","children":["$","$L33",null,{"content":{"root":{"children":[{"children":[{"detail":0,"format":0,"mode":"normal","style":"","text":"The bullet formula (×0.6545) is preferred for prostate volumetry. The prostate's broader base tapering to a rounded apex is better approximated by the bullet shape, and most urology and radiology guidelines reference the bullet formula for prostate volume calculation.","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"paragraph","version":1,"textFormat":0,"textStyle":""}],"direction":null,"format":"","indent":0,"type":"root","version":1}}}]}]]}],["$","div","3",{"className":"pb-6 last:pb-0","children":[["$","h3",null,{"className":"text-lg font-medium text-mist-950 mb-3","children":"What do Longitudinal, Transverse, and AP mean?"}],["$","div",null,{"className":"prose max-w-none text-mist-600","children":["$","$L33",null,{"content":{"root":{"children":[{"children":[{"detail":0,"format":0,"mode":"normal","style":"","text":"These are standard anatomical imaging terms. Longitudinal is the longest dimension along the structure's main axis. Transverse is the side-to-side (left-right) measurement. AP (anteroposterior) is the depth measurement from front to back. Together, these three orthogonal measurements define the three-dimensional size of the structure.","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"paragraph","version":1,"textFormat":0,"textStyle":""}],"direction":null,"format":"","indent":0,"type":"root","version":1}}}]}]]}],["$","div","4",{"className":"pb-6 last:pb-0","children":[["$","h3",null,{"className":"text-lg font-medium text-mist-950 mb-3","children":"What units should I use?"}],["$","div",null,{"className":"prose max-w-none text-mist-600","children":["$","$L33",null,{"content":{"root":{"children":[{"children":[{"detail":0,"format":0,"mode":"normal","style":"","text":"Enter all measurements in centimeters (cm). The calculator returns volume in cubic centimeters (cc), which is numerically equivalent to milliliters (mL).","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"paragraph","version":1,"textFormat":0,"textStyle":""}],"direction":null,"format":"","indent":0,"type":"root","version":1}}}]}]]}],"$L38","$L39","$L3a","$L3b","$L3c"]}]]}]
37:["$","div",null,{"className":"lg:col-span-2","children":[["$","div",null,{"className":"sticky top-24 mb-6 max-h-[calc(100vh-6rem)] overflow-y-auto space-y-4","children":[["$","$L3d",null,{"className":"rounded-xl shadow-sm","id":"cme166fnw0001jk07x8380cvi"}],["$","div",null,{"className":"bg-white rounded-lg shadow-sm p-4","children":["$","nav",null,{"aria-label":"Table of contents","children":[["$","h2",null,{"className":"text-lg font-display font-normal mb-4 text-mist-900","children":"Table of Contents"}],["$","ul",null,{"className":"space-y-2.5","children":[["$","li","what-is-ellipsoid-volume-in-medical-imaging",{"className":"","children":["$","$L6",null,{"className":"block py-1 text-mist-600 hover:text-mist-900 hover:underline transition-colors leading-relaxed text-sm no-underline","href":"#what-is-ellipsoid-volume-in-medical-imaging","children":"What Is Ellipsoid Volume in Medical Imaging?"}]}],["$","li","the-formulas",{"className":"","children":["$","$L6",null,{"className":"block py-1 text-mist-600 hover:text-mist-900 hover:underline transition-colors leading-relaxed text-sm no-underline","href":"#the-formulas","children":"The Formulas"}]}],["$","li","worked-example",{"className":"ml-3","children":["$","$L6",null,{"className":"block py-1 text-mist-600 hover:text-mist-900 hover:underline transition-colors leading-relaxed text-sm no-underline","href":"#worked-example","children":"Worked Example"}]}],["$","li","which-dimensions-to-enter",{"className":"","children":["$","$L6",null,{"className":"block py-1 text-mist-600 hover:text-mist-900 hover:underline transition-colors leading-relaxed text-sm no-underline","href":"#which-dimensions-to-enter","children":"Which Dimensions to Enter"}]}],["$","li","how-to-use-this-calculator",{"className":"","children":["$","$L6",null,{"className":"block py-1 text-mist-600 hover:text-mist-900 hover:underline transition-colors leading-relaxed text-sm no-underline","href":"#how-to-use-this-calculator","children":"How to Use This Calculator"}]}],["$","li","clinical-applications",{"className":"","children":["$","$L6",null,{"className":"block py-1 text-mist-600 hover:text-mist-900 hover:underline transition-colors leading-relaxed text-sm no-underline","href":"#clinical-applications","children":"Clinical Applications"}]}],["$","li","thyroid-nodule-volumetry",{"className":"ml-3","children":["$","$L6",null,{"className":"block py-1 text-mist-600 hover:text-mist-900 hover:underline transition-colors leading-relaxed text-sm no-underline","href":"#thyroid-nodule-volumetry","children":"Thyroid Nodule Volumetry"}]}],["$","li","prostate-volume",{"className":"ml-3","children":["$","$L6",null,{"className":"block py-1 text-mist-600 hover:text-mist-900 hover:underline transition-colors leading-relaxed text-sm no-underline","href":"#prostate-volume","children":"Prostate Volume"}]}],["$","li","other-organs-and-lesions",{"className":"ml-3","children":["$","$L6",null,{"className":"block py-1 text-mist-600 hover:text-mist-900 hover:underline transition-colors leading-relaxed text-sm no-underline","href":"#other-organs-and-lesions","children":"Other Organs and Lesions"}]}],["$","li","practical-examples",{"className":"","children":["$","$L6",null,{"className":"block py-1 text-mist-600 hover:text-mist-900 hover:underline transition-colors leading-relaxed text-sm no-underline","href":"#practical-examples","children":"Practical Examples"}]}],["$","li","example-1-thyroid-nodule-follow-up",{"className":"ml-3","children":["$","$L6",null,{"className":"block py-1 text-mist-600 hover:text-mist-900 hover:underline transition-colors leading-relaxed text-sm no-underline","href":"#example-1-thyroid-nodule-follow-up","children":"Example 1: Thyroid Nodule Follow-Up"}]}],["$","li","example-2-prostate-volume-for-psa-density",{"className":"ml-3","children":["$","$L6",null,{"className":"block py-1 text-mist-600 hover:text-mist-900 hover:underline transition-colors leading-relaxed text-sm no-underline","href":"#example-2-prostate-volume-for-psa-density","children":"Example 2: Prostate Volume for PSA Density"}]}],"$L3e","$L3f","$L40"]}]]}]}]]}],"$L41"]}]
38:["$","div","5",{"className":"pb-6 last:pb-0","children":[["$","h3",null,{"className":"text-lg font-medium text-mist-950 mb-3","children":"How accurate are these volume formulas?"}],["$","div",null,{"className":"prose max-w-none text-mist-600","children":["$","$L33",null,{"content":{"root":{"children":[{"children":[{"detail":0,"format":0,"mode":"normal","style":"","text":"Both are geometric approximations — no formula perfectly captures the true volume of an irregular biological structure. The ellipsoid formula tends to slightly underestimate true volume, while the bullet formula slightly overestimates. For serial follow-up, the most important thing is consistency: always use the same formula across studies to ensure meaningful comparison.","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"paragraph","version":1,"textFormat":0,"textStyle":""}],"direction":null,"format":"","indent":0,"type":"root","version":1}}}]}]]}]
39:["$","div","6",{"className":"pb-6 last:pb-0","children":[["$","h3",null,{"className":"text-lg font-medium text-mist-950 mb-3","children":"Can I use this calculator for CT or MRI measurements?"}],["$","div",null,{"className":"prose max-w-none text-mist-600","children":["$","$L33",null,{"content":{"root":{"children":[{"children":[{"detail":0,"format":0,"mode":"normal","style":"","text":"Yes. The formulas apply equally to measurements from any imaging modality — ultrasound, CT, or MRI. Measure orthogonal dimensions (length, width, and depth) consistently across studies, regardless of the modality.","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"paragraph","version":1,"textFormat":0,"textStyle":""}],"direction":null,"format":"","indent":0,"type":"root","version":1}}}]}]]}]
3a:["$","div","7",{"className":"pb-6 last:pb-0","children":[["$","h3",null,{"className":"text-lg font-medium text-mist-950 mb-3","children":"What counts as significant thyroid nodule growth?"}],["$","div",null,{"className":"prose max-w-none text-mist-600","children":["$","$L33",null,{"content":{"root":{"children":[{"children":[{"detail":0,"format":0,"mode":"normal","style":"","text":"ATA guidelines define significant growth as a ≥50% increase in volume or ≥20% increase in at least two dimensions, with a minimum 2 mm increase. For a nodule initially at 1.5 cc, this means a follow-up volume of ≥2.25 cc would meet the volume-based growth criterion.","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"paragraph","version":1,"textFormat":0,"textStyle":""}],"direction":null,"format":"","indent":0,"type":"root","version":1}}}]}]]}]
3b:["$","div","8",{"className":"pb-6 last:pb-0","children":[["$","h3",null,{"className":"text-lg font-medium text-mist-950 mb-3","children":"Can I use this for very small structures?"}],["$","div",null,{"className":"prose max-w-none text-mist-600","children":["$","$L33",null,{"content":{"root":{"children":[{"children":[{"detail":0,"format":0,"mode":"normal","style":"","text":"The calculator works for any positive values, but measurement reproducibility decreases significantly for structures under ~5 mm. At that scale, the inherent uncertainty in caliper placement can easily exceed the calculated volume difference — so interpret small-structure volumes with appropriate caution.","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"paragraph","version":1,"textFormat":0,"textStyle":""}],"direction":null,"format":"","indent":0,"type":"root","version":1}}}]}]]}]
3c:["$","div","9",{"className":"pb-6 last:pb-0","children":[["$","h3",null,{"className":"text-lg font-medium text-mist-950 mb-3","children":"Does this calculator handle irregular or lobulated shapes?"}],["$","div",null,{"className":"prose max-w-none text-mist-600","children":["$","$L33",null,{"content":{"root":{"children":[{"children":[{"detail":0,"format":0,"mode":"normal","style":"","text":"No. Both formulas assume a regular geometric shape. For highly irregular lesions, 3D volumetric segmentation on a dedicated workstation provides more reliable volume estimates. Formula-based calculations are most reliable for structures with reasonably smooth, oval-to-elongated contours.","type":"text","version":1}],"direction":null,"format":"","indent":0,"type":"paragraph","version":1,"textFormat":0,"textStyle":""}],"direction":null,"format":"","indent":0,"type":"root","version":1}}}]}]]}]
3e:["$","li","example-3-renal-cyst-on-follow-up-ct",{"className":"ml-3","children":["$","$L6",null,{"className":"block py-1 text-mist-600 hover:text-mist-900 hover:underline transition-colors leading-relaxed text-sm no-underline","href":"#example-3-renal-cyst-on-follow-up-ct","children":"Example 3: Renal Cyst on Follow-Up CT"}]}]
3f:["$","li","example-4-cervical-lymph-node",{"className":"ml-3","children":["$","$L6",null,{"className":"block py-1 text-mist-600 hover:text-mist-900 hover:underline transition-colors leading-relaxed text-sm no-underline","href":"#example-4-cervical-lymph-node","children":"Example 4: Cervical Lymph Node"}]}]
40:["$","li","technical-notes",{"className":"","children":["$","$L6",null,{"className":"block py-1 text-mist-600 hover:text-mist-900 hover:underline transition-colors leading-relaxed text-sm no-underline","href":"#technical-notes","children":"Technical Notes"}]}]
41:["$","div",null,{"className":"space-y-6","children":false}]