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?
Answer & explanation
Correct answer: option 1
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