Question

The volume of a sphere is 972π ft3. What is the radius of the sphere? Use the formula V = 4 3 πr3 to find your answer.

Answer 1

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

`729 = r^(3)`

`r = 9`

Answer 2

The radius of the sphere is 9 ft.

Explanation:

Given : The volume of a sphere is 972π ft³.

To find : What is the radius of the sphere?

Solution :

The formula of volume of sphere is
`V=(4)/(3)\pi r^3`

Where, Volume of the sphere is 972π ft³.

r is the radius of the sphere.

Substitute the value in the formula,

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

`r^3=(972\pi* 3)/(4\pi)`

`r^3=729`

`r=\sqrt[3]{729}`

`r=9`

Therefore, The radius of the sphere is 9 ft.