Question

Rubber balls are packaged in a box with dimensions 8.5 cm, 5 cm, 5 cm.

Each ball has a diameter of 3 cm. If there are a dozen balls in the box, how
much space in the box is not occupied by the rubber balls? Round your
answer to the nearest tenth.

Answer 1

42.9 cm^3

Explanation:

Volume of the box= (base x width x height) = 8.5 x 5 x 5 = 212.5 cm^3

Radius of a ball = 1.5 cm

Volume of a ball = 4/3 * radius^3 * pi = 4/3 x 1.5^3 x pi = 14,137167 cm^3

Volume of the balls = 14,137167 x 12 = 169,646003 cm^3

Final answer = 212.5 - 169,646003 = 42.9 cm^3