Question

A cubical Box with its side 42 cm contains a sphere that touches all its sides find the volume of the remaining space

Answer 1

Volume is remaining space = Volume of cube - Volume of sphere

radius of sphere = 1/2 × side of cube

a^3 - 4/3 × 22/7 × r^3

42×42×42 - 4/3 × 22/7 × 21 ×21×21

74088 - 38808

35280