Question

The cylinder and the sphere below have the same radius and the same volume. What is the height of the cylinder?

Answer 1

Height of cylinder (h) = (4/3)R

Explanation:

Given:

Radius of cylinder (r1) = R

Height of cylinder (h) = H

Radius of sphere (r2) = R

Volume of cylinder = volume of sphere

Find:

Height of cylinder (h) = H = ?

Computation:

`Volume\ of\ cylinder = volume\ of\ sphere\\\\ \pi (r1)^2h =(4)/(3) \pi (r2)^3\\\\\pi (R)^2h =(4)/(3) \pi (R)^3\\\\ h=(4)/(3) (R)`

Height of cylinder (h) = (4/3)R