The volume of a sphere and a right circular cylinder are the same. The radii of the sphere and the cylinder are 21 cm and 14 cm respectively. How much is the height of the cylinder?

63 cm

We know that,

Volume of sphere = \(\frac{4}{3}\)πr³

Volume of cylinder = πr²h

We have,

Radius of sphere = 21

Radius of cylinder = 14 cm

According to the question

= π × 14 × 14 × h = \(\frac{4}{3}\) × π × 21 × 21 × 21

= h = (84 × 441) × \(\frac{1}{588}\)

= h = 63 cm