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Hollow Cylinder Volume Calculator

Work out hollow cylinder volume instantly with clear inputs, formula shown and shareable results.

About Hollow Cylinder Volume Calculator

A hollow cylinder (pipe) is the difference of two coaxial cylinders, so the material volume is π(R² − r²)h. The annulus area π(R² − r²) is the cross-section of the wall.

Formulas

Material volume

V = π(R² − r²)h

Annulus area

A = π(R² − r²)

Worked example

With the default values below, Hollow Cylinder Volume Calculator returns Material volume of 603.1858. Change any input above and every figure here is recalculated in your browser.

Inputs used

Outer radius Rminimum 0
5
Inner radius rminimum 0
3
Heightminimum 0
12

Results

Material volume
603.1858
Hollow bore volume
339.2920
Annular cross-section area
50.2655
Wall thickness
2.0000

Step by step

  1. 1Values used
  2. 2Material volume
  3. 3Annulus area
  4. 4Material volume= 603.1858
  5. 5Hollow bore volume= 339.2920
  6. 6Annular cross-section area= 50.2655
  7. 7Wall thickness= 2.0000

Assumptions and limits

  • The result is derived only from the 3 inputs listed above. Anything not among them is not part of the calculation.
  • In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
  • Figures are rounded for display to 4 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.

How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.

Frequently Asked Questions

R = 5, r = 3, h = 12?

π(25 − 9) × 12 = 192π ≈ 603.185789 cubic units of pipe wall.

Can I use π(R − r)²h instead?

No, that is a different and incorrect quantity. You must subtract the squares, not square the difference.

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