A cylinder whose height is two thirds of its diameter, has the same volume as a sphere of radius 4 cm. Calculate the radius of the base of the cylinder.

Question

Philoid · Accepted Answer

Volume of a sphere = (4/3)πr³

Volume of a cylinder = πr²h

Given, cylinder whose height is two thirds of its diameter, has the same volume as a sphere of radius 4 cm.

⇒ h = (2/3) × 2r = 4r/3

Thus,

⇒ r = 4 cm