The image above is a spherical cap.

To compute the volume of a spherical cap requires two essential parameters which are the radius of the base of the cap (a) and the height (h).

The formula for calculating the volume of the spherical cap:

V = ^{πh(3a² + h²)} ⁄ _{6}

Where;

V = Volume of the spherical cap

a = Radius of the base of the cap

h = Height of the spherical cap

Lets solve an example;

Find the volume of a spherical cap when the radius of the base is 12 cm and the height is 22 cm.

This implies that;

a = Radius of the base of the cap = 12 cm

h = Height of the spherical cap = 22 cm

V = ^{πh(3a² + h²)} ⁄ _{6}

V = ^{3.142 (22)(3(12)² + 22²)} ⁄ _{6}

V = ^{3.142 (22)(3(144) + 484)} ⁄ _{6}

V = ^{3.142 (22)(432 + 484)} ⁄ _{6}

V = ^{3.142 (22)(916)} ⁄ _{6}

V = ^{3.142 (20152)} ⁄ _{6}

V = ^{63309.37} ⁄ _{6}

V = 10551.56

Therefore, the** volume of the spherical cap** is **10551.56 cm ^{2}.**

Continue reading How to Calculate and Solve for the Volume of a Spherical Cap | Nickzom Calculator