The image above is a spherical segment.

To compute the volume of a spherical segment requires three essential parameters which are the radius of the spherical segment base (r_{1}), radius of the spherical segment (r_{2}) and height (h).

The formula for calculating the volume of the spherical segment:

V = ^{πh(3r1² + 3r2² + h²)} ⁄ _{6}

Where;

V = Volume of the spherical cap

r_{1} = Radius of the spherical segment base

r_{2} = Radius of the spherical segment base

h = Height of the spherical segment

Let’s solve an example;

Find the volume of a spherical segment when the radius of the spherical segment base (r_{1}) is 7 cm, radius of the spherical segment base (r_{2}) is 9 cm and a height of 20 cm.

This implies that;

r_{1} = Radius of the spherical segment base = 7 cm

r_{2} = Radius of the spherical segment base = 9 cm

h = Height of the spherical segment = 20 cm

V = ^{πh(3r1² + 3r2² + h²)} ⁄ _{6}

V = ^{π x 20(3 x 7² + 3 x 9² + 20²)} ⁄ _{6}

V = ^{π x 20(3 x 49 + 3 x 81 + 400)} ⁄ _{6}

V = ^{π x 20(147 + 243 + 400)} ⁄ _{6}

V = ^{π x 20(790)} ⁄ _{6}

V = ^{π x 15800} ⁄ _{6}

V = ^{49643.6} ⁄ _{6}

V = 8273.9

Therefore, the **volume of the spherical segment** is **8273.9 cm ^{3}.**