Pipe Fill Calculator

Calculate the internal volume and liquid weight of any pipe. Enter inner diameter, length, and fluid density to get results in gallons, liters, cubic feet, kilograms, pounds, and more — for water, oil, diesel, glycol, or any liquid.

Every pipe in a building holds fluid — and every drop adds weight, cost, and complexity. Whether you're figuring out how much water sits in a 40-foot hot water line, how much glycol to order for a radiant heating loop, or how much weight 200 feet of oil-filled steel pipe puts on your supports, you need the volume and mass numbers before you can move forward.

This pipe fill calculator gives you both. Enter the inner diameter, pipe length, and liquid density, and it returns the pipe's internal volume and the total mass of liquid inside — in whatever units you need. Gallons, liters, cubic feet, kilograms, pounds — just pick from the dropdowns.

It handles metric and imperial, and because you can set the liquid density yourself, you're not stuck assuming water. Calculate for oil, diesel, glycol solutions, brine, or any other fluid you're actually working with.

Why Pipe Volume Matters

If you've ever had to drain a heating system for maintenance, you already know why pipe volume matters — that fluid has to go somewhere, and "somewhere" needs to be a container big enough to hold it.

But volume calculations come up more often than you might expect. Plumbers need them when sizing new installations. Engineers need them to calculate dead weight on pipe supports. HVAC technicians need them to know how much antifreeze solution to mix before filling a hydronic loop. Pool contractors need them to account for the water trapped in circulation piping when winterizing.

Here's one that catches people off guard: a 2-inch copper pipe running just 100 feet holds roughly 16 gallons of water. That's 136 pounds hanging from your brackets and hangers. Double that diameter to 4 inches and the same run holds about 65 gallons — over 540 pounds. The volume doesn't just double when the pipe gets wider. It quadruples, because diameter is squared in the formula. That's the kind of detail that can make or break a support design.

Knowing the exact volume also saves money. Ordering glycol for a heating system? You don't want to buy 50 gallons when the loop only holds 12. Running a flush on an industrial line? You need to know the pipe's capacity to plan your waste disposal.

The math itself is simple. Getting the right answer depends on using the right measurements — which is where most mistakes happen.

The Pipe Volume Formula

Pipe volume follows the standard cylinder formula:

Volume = π × (d / 2)² × L

Where:

  • π (pi) = 3.14159
  • d = inner diameter of the pipe
  • L = length of the pipe

You can also write this as V = π × r² × L, with r being the inner radius (half the diameter).

Worked example: Say you have a 4-inch inner diameter pipe running 50 feet (that's 600 inches):

  • Radius = 4 ÷ 2 = 2 inches
  • Volume = 3.14159 × 2² × 600 = 3.14159 × 4 × 600 = 7,539.8 cubic inches
  • Convert to gallons: 7,539.8 ÷ 231 = 32.6 U.S. gallons

To find the weight of liquid inside, multiply volume by density:

Mass = Volume × Density

For water at room temperature (8.34 lb per gallon):

  • 32.6 × 8.34 = 271.9 pounds

That's the load your pipe supports need to carry when the system is full — and it's easy to underestimate without running the numbers.

How to Use This Calculator

  1. Enter the inner diameter. Type in the internal diameter of your pipe and pick your unit — meters, centimeters, millimeters, inches, or feet. Use the actual inner diameter, not the nominal pipe size or outer diameter. (If you're unsure of the difference, check the reference table below.)
  2. Enter the pipe length. Type in the total length of the pipe run and select the unit. Running multiple segments of the same diameter? Add the lengths together and enter the total.
  3. Enter the liquid density. For water, 997 kg/m³ works for most situations. For other fluids — oil, diesel, glycol — use the density reference table further down this page, or look up the specific gravity of your liquid.
  4. Read your results. The calculator shows two outputs:
  • Mass of Liquid — total weight of the fluid the pipe holds
  • Pipe Volume — total internal volume of the pipe
  1. Switch output units using the dropdown menus next to each result. Need gallons instead of cubic centimeters? Just select it.

Practical Examples

Residential Hot Water Line

You're wondering why it takes so long for hot water to reach the kitchen. The hot water line from your tank to the faucet is ¾-inch copper, running about 40 feet.

  • Inner diameter: 0.75 inches
  • Length: 40 feet (480 inches)
  • Volume = π × (0.375)² × 480 = 212.1 cubic inches = 0.92 gallons

That's nearly a full gallon of water cooling in the pipe between uses. Every time you turn on the hot tap, that cooled-off gallon has to flush out before the hot water arrives. Now you know exactly why you wait — and if you're thinking about a recirculating pump, you know the volume it needs to keep warm.

Swimming Pool Circulation Piping

A pool contractor is winterizing a system and needs to know how much water is sitting in the plumbing, separate from the pool itself.

  • Pipe: 2-inch inner diameter PVC
  • Total run: 150 feet (1,800 inches)
  • Volume = π × (1)² × 1,800 = 5,654.9 cubic inches = 24.5 gallons
  • Weight: 24.5 × 8.34 = 204 pounds

That's 24.5 gallons that need to be blown out with compressed air before temperatures drop, or the pipes risk cracking. Knowing the exact number tells the contractor how long to run the blower and confirms the water is fully cleared.

Industrial Hydraulic Oil Transfer Line

An engineer needs to calculate how much hydraulic oil a short transfer line holds — both for inventory tracking and structural load calculations.

  • Pipe: 6-inch inner diameter steel
  • Length: 200 feet (2,400 inches)
  • Liquid: Hydraulic oil (density: 870 kg/m³ = 7.25 lb/gal)
  • Volume = π × (3)² × 2,400 = 67,858 cubic inches = 293.8 gallons
  • Mass: 293.8 × 7.25 = 2,130 pounds

Nearly 294 gallons of oil at over a ton of weight. That number feeds directly into the structural engineer's support calculations and the procurement team's inventory planning. Getting it wrong in either direction causes real problems.

HVAC Radiant Floor Heating Loop

An HVAC technician is filling a radiant floor system and needs to know how much propylene glycol solution to prepare.

  • Pipe: ½-inch inner diameter PEX
  • Total loop: 300 feet (3,600 inches)
  • Liquid: 50% propylene glycol (density: 1,040 kg/m³ = 8.67 lb/gal)
  • Volume = π × (0.25)² × 3,600 = 706.9 cubic inches = 3.06 gallons
  • Mass: 3.06 × 8.67 = 26.5 pounds

Three gallons of glycol solution — that's the exact amount to pre-mix. No guessing, no wasting a $40 jug of glycol, no running short mid-fill and having to stop the job.

Fire Sprinkler Main

A fire protection engineer needs the standing water volume in a main supply line for a commercial building.

  • Pipe: 4-inch inner diameter steel (Schedule 40, actual ID: 4.026 inches)
  • Length: 250 feet (3,000 inches)
  • Liquid: Water
  • Volume = π × (2.013)² × 3,000 = 38,162 cubic inches = 165.2 gallons
  • Weight: 165.2 × 8.34 = 1,378 pounds

That's over 165 gallons and nearly 1,400 pounds of water sitting in a single pipe run. The structural team uses this for dead-load calculations, and the maintenance crew uses it to plan drain-down procedures during inspections.

Understanding Liquid Density

Most pipe calculators assume everything inside is water. This one doesn't. Because the liquid density field is open, you can calculate mass for any fluid — from gasoline to molasses.

Here's a quick reference for the fluids people work with most:

Liquid

Density (kg/m³)

Density (lb/ft³)

Weight per Gallon (lb)

Fresh Water (20°C)

998

62.3

8.34

Hot Water (60°C)

983

61.4

8.21

Seawater

1,025

64.0

8.56

Diesel Fuel

832

51.9

6.94

Hydraulic Oil

870

54.3

7.25

Propylene Glycol (50%)

1,040

64.9

8.67

Gasoline

748

46.7

6.24

Crude Oil

870

54.3

7.25

Milk (whole)

1,030

64.3

8.59

Ethanol

789

49.3

6.59

Why does this matter in practice? Take a 100-foot run of 3-inch pipe. The internal volume is the same regardless of what's inside — about 23.3 gallons. But fill it with water and it weighs 194 pounds. Switch to diesel and it drops to 162 pounds. Fill it with a 50% glycol solution and it climbs to 202 pounds. When you're designing supports or calculating pump loads, those differences change your specs.

Temperature also plays a role. Water at near-freezing (4°C) is at peak density — 1,000 kg/m³. Heat it to 80°C for a high-temperature system and it drops to about 972 kg/m³. That's a 3% difference, which adds up in large systems.

Common Pipe Sizes: Nominal vs. Actual Inner Diameter

One of the most common sources of error in pipe volume calculations is using the nominal pipe size instead of the actual inner diameter. They're not the same.

Nominal pipe size is a naming convention — a label that was loosely based on inner diameter decades ago but has since drifted. Here are the actual inner diameters for the pipe types you'll encounter most:

Nominal Size

Copper Type L (ID)

PVC Schedule 40 (ID)

Steel Schedule 40 (ID)

½"

0.545"

0.622"

0.622"

¾"

0.785"

0.824"

0.824"

1"

1.025"

1.049"

1.049"

1¼"

1.265"

1.380"

1.380"

1½"

1.505"

1.610"

1.610"

2"

1.985"

2.067"

2.067"

3"

2.945"

3.068"

3.068"

4"

3.905"

4.026"

4.026"

6"

5.845"

6.065"

6.065"

Notice how a "½-inch" steel pipe actually has an inner diameter of 0.622 inches — over 24% larger than you'd expect from the name. Use the nominal size in your volume calculation and you'll underestimate by roughly 55%. That's a significant error, especially when multiplied across long runs or entire systems.

When in doubt, measure the actual inner diameter with calipers. It takes ten seconds and avoids the most common mistake in pipe volume calculations.

Common Mistakes to Avoid

Grabbing the outer diameter instead of the inner one. It's the single most frequent error, and it always overestimates your volume. The outer diameter includes the pipe wall, which doesn't hold any fluid. For a 2-inch Schedule 40 steel pipe, the outer diameter is 2.375 inches but the inner is only 2.067 inches. Using the OD would overestimate your volume by about 32%.

Trusting the nominal pipe size. That "1-inch pipe" on your spec sheet isn't 1 inch inside. It's a label, not a measurement. Always look up the actual inner diameter for your specific material and schedule — or better yet, measure it directly.

Ignoring fittings and valves. Elbows, tees, reducers, and valves all add small volumes. For a quick estimate, the straight-pipe number is usually close enough. For precision work — like calculating exact glycol fill quantities — adding 5-10% for fittings is a good rule of thumb.

Mixing units without converting. Diameter in inches and length in meters will produce nonsense. The calculator's unit selectors handle this for you, but if you're doing the math by hand, keep everything in the same system until the final conversion.

Forgetting that water density changes with temperature. Room-temperature water at 998 kg/m³ is fine for most jobs. But a high-temperature heating system at 80°C uses water at about 972 kg/m³ — roughly 3% lighter. On a large system with thousands of gallons, that 3% affects pump sizing and expansion tank calculations.

Technical Notes

Formulas Used:

Pipe volume (cylinder volume): V = π × r² × L

Liquid mass: m = V × ρ

Where V is volume, r is the inner radius, L is the pipe length, and ρ (rho) is liquid density.

Common Unit Conversions:

From

To

Factor

Cubic inches

U.S. gallons

÷ 231

Cubic feet

U.S. gallons

× 7.481

Cubic centimeters

Liters

÷ 1,000

Cubic meters

Liters

× 1,000

Cubic meters

U.S. gallons

× 264.172

Kilograms

Pounds

× 2.205

Disclaimer: This calculator provides results based on the standard cylinder volume formula and assumes straight, uniform pipe. Actual capacity may differ slightly due to manufacturing tolerances, fittings, bends, valves, and internal surface conditions. For critical engineering applications — fire protection, structural load calculations, pressure systems — consult the relevant codes and a qualified engineer.

Frequently Asked Questions

How do I calculate the volume of water in a pipe?

Measure your pipe's inner diameter and total length, then plug them into the formula: Volume = π × (diameter ÷ 2)² × length. That gives you volume in cubic units matching your measurements. Divide cubic inches by 231 to get U.S. gallons, or divide cubic centimeters by 1,000 for liters. Or skip the math entirely and enter your numbers into the calculator above — it handles the formula and unit conversions automatically.

What's the difference between inner diameter and outer diameter?

Inner diameter (ID) measures across the hollow space inside the pipe — where the fluid actually flows. Outer diameter (OD) measures across the full pipe including the walls. You need the inner diameter for volume calculations, since the pipe wall doesn't hold any liquid. If you only have the OD, subtract twice the wall thickness to get the ID. Wall thickness varies by pipe material and schedule, so check the manufacturer specs or the reference table above.

How much does a gallon of water weigh?

About 8.34 pounds at room temperature, or roughly 1 kilogram per liter. That's a handy shortcut — if your pipe holds 25 gallons, you're looking at roughly 208 pounds of water weight. Hot water weighs slightly less because it expands as it heats. At 60°C, a gallon of water weighs about 8.21 pounds.

Can I use this calculator for gas-filled pipes?

The volume result works fine — it's just geometry, and it applies to any cylinder regardless of what's inside. The mass calculation won't be accurate for gases, though, because gases compress and expand based on pressure and temperature. For gas-filled pipes, you'd need to factor in operating pressure and temperature using the ideal gas law or similar equations.

How do I find the inner diameter of my pipe?

Best method: measure directly across the inside opening with calipers. If you can't access the pipe end, measure the outer diameter and subtract twice the wall thickness (you can look up wall thickness by pipe material and schedule). You can also look up the actual ID using the nominal size printed on the pipe — just don't use the nominal size directly as the diameter. A "1-inch" pipe is rarely 1 inch inside.

Why does a wider pipe hold so much more than a longer one?

Diameter is squared in the volume formula, while length is only multiplied. So doubling the length doubles the volume — straightforward. But doubling the diameter quadruples the volume. A 2-inch pipe that's 10 feet long holds about 1.6 gallons. Stretch it to 20 feet and you get 3.2 gallons. But widen it to 4 inches at the original 10 feet and it holds 6.5 gallons — four times as much. This is why upsizing a pipe by even one standard size can dramatically increase capacity.

What density value should I use for water?

For most residential and commercial work, 997-998 kg/m³ (62.3 lb/ft³) covers you — that's fresh water at about 20-25°C. If you're working with hot water systems above 60°C, drop it to 983 kg/m³. Chilled water near 4°C sits right at 1,000 kg/m³. The difference is small for individual pipes but can add up across large building systems.

How do I calculate volume for a system with different pipe sizes?

Calculate each section separately and add them together. If you have 50 feet of 2-inch pipe feeding into 30 feet of 1½-inch pipe, run the calculator twice — once for each section — and sum the results. For systems with many segments, a spreadsheet works well: list each diameter and length, calculate per-section volumes, then total them at the bottom.

Is the nominal pipe size the same as the actual diameter?

No, and this trips up a lot of people. Nominal pipe size is a legacy labeling system that was loosely based on inner diameter long ago, but modern manufacturing means the actual ID varies by material and schedule. A "1-inch" Schedule 40 steel pipe is actually 1.049 inches inside. A "1-inch" Type L copper pipe is 1.025 inches. Always look up or measure the real ID — using the nominal size directly will throw off your calculation.

How accurate are the results from this calculator?

The math is exact — it uses the precise cylinder volume formula. Your result is only as accurate as your input measurements. For the best accuracy: measure inner diameter with calipers (don't rely on nominal sizes), measure the actual pipe length rather than estimating, and use the correct density for your specific liquid at its operating temperature. For most practical purposes, the results will be well within the margin you need for sizing, ordering, and planning.