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Pipe Volume Calculator

Pipe Volume Calculator works out Volume of material and Internal capacity from Outer radius or diameter, Height / length and Inner radius or diameter (hollow only). The default figures on this page give internal capacity of 1,256.637061; change any entry and the result, the working and the sources update together.

Internal capacity
1,256.637061
Cylinder Calculator
Volume of material
706.858347
Lateral (curved) surface area
2,827.433388
End-face area
7.068583
Total surface area
2,841.570555
Outer radius
2.5
Inner radius
2
Outer circumference
15.707963
Material volume (cubic metres)
0.011583 m3
Capacity (cubic metres)
0.020593 m3
Capacity (litres)
20.592592 L
Capacity (US gallons)
5.439987 gal
Capacity (cubic feet)
0.727221 ft3
Total surface area (square metres)
1.833268 m2
Worked out from Weisstein, Eric W. "Cylinder." MathWorld — A Wolfram Web Resource and 2 other sources.

Your figures

Updates as you type
Interpreted per the measurement selector above.
For a horizontal tank or a pipe this is the run length.
Give this or the wall thickness for a hollow cylinder.
Radial wall thickness; the bore is the outer radius minus this.
Material density for a solid/hollow body, or contents density for a tank.

How this is worked out

7 steps
  1. Outer radius R = 2.5 in, height/length h = 100 in
  2. Inner radius r = 2 in
  3. Material volume V = pi (R^2 - r^2) h = pi (6.25 - 4) x 100 = 706.85835 in^3
  4. Bore capacity = pi r^2 h = 1256.6371 in^3
  5. Curved surface = 2 pi R h + 2 pi r h = 2827.4334 in^2
  6. Total surface = curved + 2 x end face = 2827.4334 + 2 x 7.0685835 = 2841.5706 in^2
  7. Asked for the internal capacity: pi x 2^2 x 100 = 1256.6371 in^3 = 20.592592 L = 5.4399873 US gal.

Its 6 worked examples are re-run on every release, last on 15 September 2026. What changed

Sources and references

3 sources

What the Pipe Volume Calculator calculates

Computes volume, surface area, capacity, weight and partial-fill volume for solid or hollow cylinders and cylindrical tanks.

How to use this Pipe Volume Calculator

Enter Outer radius or diameter, Height / length, Inner radius or diameter (hollow only) and Wall thickness (hollow only). Volume of material updates as you type. Change one figure at a time to see what drives the result.

How the result is worked out

Open “How this is worked out” beside the result for the step-by-step calculation behind Volume of material, Internal capacity and Lateral (curved) surface area.

The method follows Weisstein, Eric W. "Cylinder." MathWorld — A Wolfram Web Resource, Weisstein, Eric W. "Circular Segment." MathWorld (horizontal tank partial-fill area) and NIST Special Publication 811 (unit factors used for capacity and mass output).

What you can compare

Change one input at a time to see how it affects Volume of material, Internal capacity and Lateral (curved) surface area. The inputs you can vary are Outer radius or diameter, Height / length, Inner radius or diameter (hollow only), Wall thickness (hollow only), Length unit and Density (optional).

Results are general information, not financial, tax, legal, medical or engineering advice. Check any decision that matters with a qualified professional.

Embed this calculator on your website

Copy this code into any page. The calculator appears with the figures currently entered, sizes itself to fit, and a small credit line links back here. Free, no account, no ads inside it, no tracking of your readers. Set your own figures and fixed fields; Personal removes the credit line, sets your colour and shows you which sites use it.

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Frequently asked questions

How to calculate volume for pipe?

Computes volume, surface area, capacity, weight and partial-fill volume for solid or hollow cylinders and cylindrical tanks. Open “How this is worked out” beside the result to see each step for your own figures.

How to calculate how many gallons are in a pipe?

It needs Outer radius or diameter, Height / length, Inner radius or diameter (hollow only), Wall thickness (hollow only), Length unit and Density (optional). Nothing else is required, and the figures stay in your browser.

What is the volume of an 8 inch pipe?

On the figures this page opens with — outer radius or diameter 10, height / length 100 and wall thickness (hollow only) 1 — the internal capacity is 1,256.637061. No single number fits everyone: change any figure above and the answer updates as you type, with each step of the arithmetic beside it.

What is the volume of a 4 inch pipe?

The result gives Volume of material, Internal capacity, Lateral (curved) surface area, End-face area, Total surface area and Outer radius, each labelled with its unit so the figure can be read on its own.

What is the volume per foot of a 3-inch pipe?

The page opens with worked default figures: internal capacity of 1,256.637061. Replace them with your own and every figure updates as you type.

What information do I need for the Pipe Volume Calculator?

You need Outer radius or diameter, Height / length, Inner radius or diameter (hollow only), Wall thickness (hollow only), Length unit, Density (optional) and Density unit. The page opens with default figures that give internal capacity of 1,256.637061, so you can see the scale before entering your own.

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