Math

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Hollow Cylinder Volume Calculator.

Calculate annular-cylinder volume from radii and height.

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Set your values

Results update as you type.

Result: volume: 502.654825 · crossSectionalArea: 50.265482

Result

volume: 502.654825 · crossSectionalArea: 50.265482

Use Cases

Engineering and Manufacturing

Determine material volume for pipes, tubes, or cylindrical shells to estimate weight or material cost.

Example: Calculate the volume of a steel pipe with outer radius 5 cm, inner radius 4 cm, and height 100 cm.

Construction and DIY Projects

Estimate concrete or filler needed for hollow cylindrical forms like columns or pillars.

Example: Find the volume of concrete needed for a hollow pillar with outer radius 0.5 m, inner radius 0.4 m, and height 3 m.

Frequently Asked Questions

How do I calculate the volume of a hollow cylinder?
Enter the outer radius, inner radius, and height in the same units. The calculator uses the formula V = π × (R² - r²) × h, where R is outer radius, r is inner radius, and h is height. The result is in cubic units.
What units should I use for the radii and height?
All inputs must be in the same unit (e.g., inches, centimeters, feet). The volume will be in that unit cubed (e.g., cubic inches, cubic centimeters).
Can the inner radius be larger than the outer radius?
No, the inner radius must be less than the outer radius. If you enter an inner radius greater than or equal to the outer radius, the calculator will not produce a valid volume, as the shape would not be a hollow cylinder.

Tips & Common Mistakes

Tips

  • Ensure all measurements are in the same unit before entering them to get an accurate volume.
  • Double-check that the inner radius is smaller than the outer radius; otherwise, the result is invalid.
  • For quick estimates, use approximate π (3.14159) if you are doing manual calculations, but the calculator uses a precise value.
  • If you have the diameter instead of radius, divide by 2 to get the radius before entering.

Common Mistakes to Avoid

  • Using different units for outer radius, inner radius, and height without converting them to the same unit.
  • Entering the inner radius as larger than the outer radius, which yields a negative or nonsensical volume.
  • Forgetting to square the radii in the formula, leading to an incorrect volume.

Last updated: August 13, 2026