Question

A hollow cube of side $4cm$ contains a solid sphere touching its sides. Find the volume of gaps bet sphere & cube.

Answer 1

radius of sphere $=\frac{a}{2}$

Where side of cube$=a$

Volume of gaps =volume of cube-volume of sphere$=a^3{a}^3-\frac{4}{3}\pi r^3=a^3(1-\frac{\pi }{6})$