Question

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

Answer 1

Answer:

Volume of sphere = 200 in³

Step-by-step explanation:

Given:

Volume of cylinder = 150 in³

Height = Radius

Radius of cylinder = Radius of sphere

Find:

Volume of sphere = ?

Computation:

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

$Volume\ of\ sphere =\frac{4}{3} \pi r^3\\\\We\ know \ that , \pi r^3 = 150\\\\ Volume\ of\ sphere =\frac{4}{3} \times 150\\\\Volume\ of\ sphere =200$

Volume of sphere = 200 in³