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Hemisphere Volume Calculator

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

About Hemisphere Volume Calculator

A hemisphere is half a sphere, so V = ⅔πr³. Its curved surface is 2πr² and adding the flat circular face πr² gives a total of 3πr².

Formulas

Volume

V = ⅔πr³

Total surface

S = 2πr² + πr² = 3πr²

Worked example

With the default values below, Hemisphere Volume Calculator returns Volume of one hemisphere of 452.3893. Change any input above and every figure here is recalculated in your browser.

Inputs used

Radiusminimum 0
6
Number of hemispheresminimum 1
1

Results

Volume of one hemisphere
452.3893
Curved area 2πr²
226.1947
Total area with flat face 3πr²
339.2920
Combined volume
452.3893

Step by step

  1. 1Values used
  2. 2Volume
  3. 3Total surface
  4. 4Volume of one hemisphere= 452.3893
  5. 5Curved area 2πr²= 226.1947
  6. 6Total area with flat face 3πr²= 339.2920
  7. 7Combined volume= 452.3893

Assumptions and limits

  • The result is derived only from the 2 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

Radius 6?

⅔π × 216 = 144π ≈ 452.389342 cubic units.

Where is the centroid of a solid hemisphere?

On the axis of symmetry, 3r/8 above the flat face.

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