A spherical ball with a volume of 972π in.3 is packaged in a box that is in the shape of a cube. The edge length of the box is e

Question

3 years ago

11

qual to the diameter of the ball. What is the volume of the box?

1 answer:

mojhsa [17] · Answer 1 · 2022-08-19T16:44:24+03:00

7 0

Answer:

V = 4/3 x pi x r^3

972 x pi= 4/3 x pi x r^3

729 = r^3

The cubic root of 729 is 9 because 9 x 9 x 9 = 729.

The radius is 9 inches, and the diameter is 18 inches.

The volume of the box is 18 in x 18 in x 18 in or 5832 in.³.

Step-by-step explanation: