Question

Find the radius of the sphere with the given volume. Show all work

Answer 1

r = 15

Explanation:

Volume of a sphere is given by

V = 4/3 pi r^3

4500 pi = 4/3 pi r^3

Divide each side by pi

4500 = 4/3 r^3

Multiply each side by 3/4

3/4 *4500 = 3/4 *4/3 r^3

3375 = r^3

Take the cube root of each side

(3375)^(1/3) = (r^3)^(1/3)

15 = r