Question

The volume of this sphere is StartFraction 500 pi Over 3 EndFraction cubic inches. What is its radius? A sphere. Recall the formula Sphere Volume = four-thirds pi r cubed

Answer 1

5

Explanation:

Answer 2

5 Inches.

Explanation:

Given the volume of a sphere
`=(500\pi)/(3) $ cubic inches`

We want to determine the radius of the sphere.

Volume of a Sphere
`=(4\pi r^3)/(3)`

Therefore:

`(4\pi r^3)/(3)=(500\pi)/(3) \\$Multiply both sides by$ (3)/(\pi) \\4 r^3=500\\$Divide both sides by 4\\r^3=125\\r^3=5^3\\r=5$ inches`

The radius of the sphere is 5 Inches.