Given, side of the cube = 4 cm
Side of cube = Diameter of the sphere
Diamter = 4 cm
∴ Radius of the sphere =42=2 cm
Volume of the gap = Volume of cube - Volume of sphere
=(Side)3−43πr3
=(4)3−43π(2)3 [∵ side of cube = diameter of sphere]
=(64−43×227×8)=64−33.52=30.48 cm3