Question

The volume of a sphere is
`(1)/(162) \pi` cubic meters. What is the length of the sphere’s radius? In your final answer, include all of your calculations.

Answer 1

The radius is 1/6 m!!!!!!!!!

Answer 2

The radius is 1/6 m

Explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

1/162 * pi = 4/3 pi r^3

Divide each side by pi

1/162 = 4/3 r^3

Multiply each side by 3/4

3/4 *1/162 =3/4* 4/3 r^3

1/216 = r^3

Take the cube root of each side

(1/216)^ 1/3 = (r^3)^1/3

1/6 = r

The radius is 1/6 m