Question

How to find the volume of a quarter-sphere?

Answer 1

As the word suggests, a quarter-sphere is a quarter of a sphere, and thus the volume of a quarter-sphere is a quarter of the volume of the sphere.

The volume of a sphere is computed as

`(4)/(3) \pi r^3`

So, the volume of a quarter-sphere is

`(1)/(4)\cdot (4)/(3) \pi r^3 = (1)/(3) \pi r^3`