12 spheres of the same size are made from melting a solid cylinder of 16 cm diameter and 2 cm height. The diameter of each sphere is-

Question: 12 spheres of the same size are made from melting a solid cylinder of 16 cm diameter and 2 cm height. The diameter of each sphere is-

Solution:
Let the radius of each sphere be r cm

∴ Volume of 12 spheres = Volume of cylinder
⇒ 12 × (4/3)π × r³ = r × 8 × 8 × 2
⇒ r³ = (8 × 8 × 2 × 3)/(12 × 4)
⇒ r³ = 8
⇒ r = 2 cm

Diameter of each sphere = 2r = 4 cm