Question

a hollow cube of side 4 cm contains a solid sphere touching its sides , find the volume of gaps between sphere and walls of cube.

Answer 1

diameter of sphere = lenght of cube
$rad \: of \: sphere = 2 \: cm \\ required \: vol = vol \: of \: cube - vol \: of \: sphere \\ {side}^{3} - \frac{4}{3} \pi {r}^{3}$
put values and find answer.