Question

The largest sphere is carved out of a cube of side $10.5cm$. Find the volume of the sphere.

Answer 1

Let $r$ be the radius of sphere.
Diameter of sphere$=$side of cube =$2r=10.5cm$

$\therefore$Radius $=\frac{10.5}{2}=5.25cm$

Volume$=\frac{4}{3}\pi r^3=\frac{4}{3}\times \frac{22}{7}\times {\left(5.25\right)}^3$

$=606.375c{m}^3$