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

$972 \pi = \frac{4}{3} \pi r^{3}$
$729 = r^{3}$
$r = 9$

Answer 2

Answer:

The radius of the sphere is 9 ft.

Step-by-step 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 $V=\frac{4}{3}\pi r^3$

Where, Volume of the sphere is 972π ft³.

r is the radius of the sphere.

Substitute the value in the formula,

$972\pi=\frac{4}{3}\pi r^3$

$r^3=\frac{972\pi\times 3}{4\pi}$

$r^3=729$

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

$r=9$

Therefore, The radius of the sphere is 9 ft.