Question

The cylinder shown has a volume of 150 cubic inches and its height is equal to its

radius. The cylinder and the sphere shown have the same radius. Which is the
volume of the sphere?
A.) 50
B.) 200
C.) 450
D.) 600

Answer 1

Volume of sphere = 200 in³

Explanation:

Given:

Volume of cylinder = 150 in³

Height = Radius

Radius of cylinder = Radius of sphere

Find:

Volume of sphere = ?

Computation:

`Volume\ of\ cylinder = \pi r^2h\\\\Given\ r=h\\\\So, \\\\Volume\ of\ cylinder = \pi r^2r\\\\150 = \pi r^3\\\\`

`Volume\ of\ sphere =(4)/(3) \pi r^3\\\\We\ know \ that , \pi r^3 = 150\\\\ Volume\ of\ sphere =(4)/(3) * 150\\\\Volume\ of\ sphere =200`

Volume of sphere = 200 in³