Question

If a largest sphere is inscribed in a cube of side $7cm$ then find the volume of the sphere.

Answer 1

For largest sphere to be inscribed in the cube,

diametre of sphere should be equal to edge length of cube,

$⟹2\times radius=7cm$

$⟹radius=3.5cm$

So, volume of the sphere=$\frac{4}{3}\pi r^3$

$=\frac{4}{3}\pi (3.5{)}^3$

$=179.6c{m}^3$