Question

The volume of a sphere is 36π cubic feet. What is the radius of the sphere? (V = 4 3 πr3) A) 3 ft B) 4 ft C) 6 ft D) 8 ft

Answer 1

3 feet

Explanation:

From question statement, we observe that

Volume of the sphere is given and we have to find the radius of sphere.

V = 36π ft³

r = ?

The formula to find volume of sphere is

V = 4/3πr³

Rewrite the above formula to find the radius of sphere.

r = ∛(3V / 4π)

Putting the value of volume in above formula,we get

r = ∛(3(36π) / 4π)

r = ∛27

r = ∛(3)³

r = 3 feet

Hence, the radius of sphere is 3 feet.

Answer 2

ANSWER

A) 3 ft


EXPLANATION


The volume of a sphere is given by the formula,


`V = (4)/(3) \pi {r}^(3)`


It was given that the volume is 36π.


We substitute this value into the formula to obtain,



`36\pi = (4)/(3) \pi {r}^(3)`



This implies that,



`9 = (1)/(3) {r}^(3)`


We multiply both side by 3 to get,



`{r}^(3) = 27`




`r = \sqrt[3]{27} = 3`