Question

The volume of this sphere is 500/3π cubic inches. What is the radius

Answer 1

Volume is 4/3π r^3






500/3 π where is r ????? Please write clearly

Answer 2

5 inches

Explanation:

Given: The volume of this sphere is 500/3π cubic inches.

To Find :What is the radius?

Solution:

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

We are given that The volume of this sphere is 500/3π cubic inches.

So, On Comparing :

`(4)/(3)\pi r^3 = (500)/(3) \pi`

`(4)/(3) r^3 = (500)/(3)`

`r^3 = (500 * 3)/(3 * 4)`

`r^3 = (1500)/(12)`

`r^3 = (500)/(4)`

`r^3 = 125`

`r = √(125)`

`r = 5`

Hence the radius of the sphere is 5 inches