Geometry

Spherical Cap Volume

Volume of a spherical cap of height h.

Formula

Formula
V = π h2 3r − h3

Variables

SymbolDefinitionType & rangeUnitsRole
r sphere radius real number (ℝ) input
h cap height real number (ℝ) input

Try it yourself

Interactive calculator
Result

Worked examples

Example 1
Givenradius r = 5, cap height h = 2
Result54.45427266
Example 2
Givenradius r = 10, cap height h = 5
Result654.4984695