Spherical cap volume

Spherical cap volume: use sphere radius, cap height. Review the formula, worked example and calculation steps.

Inputs

Use the units shown
RESULT
—

Enter your values and select Calculate.

Formula & explanation
V = πh²(3R−h)/3

Variables & units

Sphere radius
m · minimum 0, maximum 1000000000000
Cap height
m · minimum 0, maximum 1000000000000

Worked example

R=3 and h=1 gives 8π/3.

Assumptions

Measure cap height from the cap plane to the pole of the sphere.

Formula version 1.0.0. JavaScript floating-point arithmetic applies. Results display up to 6 decimal places; stored values retain available precision. Use the units shown.

Practice with an example

Use the default input values to find the answer. The reset icon restores those values.

Calculated on your device. Your latest 100 calculations stay in this browser.