Question

How do you find the volume of the sphere in terms of $\pi$ given $V=\frac{4}{3}\pi r^3$ and $d=10cm$?

Answer 1

The volume of the sphere in terms of $\pi$ is $\frac{500\pi }{3}c{m}^3$

Explanation:

$d=10cm$ means diameter is $10cm$ and hence the radius $r$ being half the diameter is $\frac{10}{2}=5cm$

Hence, the volume of the sphere $V=\frac{4}{3}\pi r^3=\frac{4}{3}\pi \ast 5^3$

$=\frac{4}{3}\pi \ast 125$

$=\frac{500\pi }{3}c{m}^3$