Question

A cube of sides 5 cm contain a sphere touching it's sides.find the volume of the gap in between

Answer 1

Volume of gap = Volume of cube - Volume of Sphere

Volume of cube = 5³ = 125 cm³
Volume of sphere = 4/3 * π * r³
Diameter = 5cm
= 4/3 * 22/7 * 5/2 * 5/2 * 5/2
= 11000 / 168
= 65.47 cm³

Volume of gap = 125 - 65.47
 = 59.53 cm³