A cube of side 4 cm contains a sphere touching its side. Find the volume of the gap in between.
Volume of a cube = side3
Volume of a sphere = (4/3)πr3
Given, cube of side 4 cm contains a sphere touching its side
Radius of the sphere = 4/2 = 2 cm
Volume of the gap in between = 43 - (4/3)π × 23
⇒ Volume of the gap in between = 30.48 cm3