Question

The volume of a container measures 3,200 in^3 and contains a dozen tennis balls. Each tennis ball has a radius of 2.5 in. How much space in the container is empty? Use 3.14 as an approximation for pi. Round to the nearest whole number, if necessary.(1 point)

Answer 1

[AI-generated answer — Bot GPT 3.5]

The formula for the volume of a sphere is V = 4/3 * π * r^3.

The radius of each tennis ball is 2.5 inches.

The volume of each tennis ball is V = 4/3 * 3.14 * (2.5)^3 = 65.45 in^3.

There are a dozen tennis balls, so the total volume occupied by the tennis balls is 12 * 65.45 = 785.4 in^3.

The volume of the container is 3,200 in^3.

To find the space that is empty in the container, subtract the volume occupied by the tennis balls from the total volume of the container:

3,200 - 785.4 = 2,414.6 in^3.

Therefore, the space in the container that is empty is approximately 2,415 cubic inches.