Spherical Cap

Spherical Cap formulas

Using r (sphere radius) and h (cap height)

Volume `V = (pi*h^2)/3 * (3*r-h)`

Surface area (without base) `A=2*pi*r*h`

Using a (cap radius) and h (cap height)

Volume  `V = (pi*h)/6 * (h^2+3*a^2)`

Surface area (without base) `A=pi*(h^2+a^2)`

Other formulas

Relationship between r, a and h  `a^2+h^2 = 2*h*r`

Cap angle :

`sin(\theta) = a/r`

`cos(\theta) = 1-h/r`

See also

Solid Geometry calculators
Geometry calculators
Mathematics calculators