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)

in.3

Answer 1

[AI-generated answer — Bot GPT 3.5]

The volume of a tennis ball can be calculated using the formula for the volume of a sphere: V = (4/3)πr^3, where V is the volume and r is the radius.

Using a radius of 2.5 inches, the volume of one tennis ball is: V = (4/3) * 3.14 * (2.5)^3 = 65.41 in^3 (rounded to two decimal places).

Since there are a dozen tennis balls, the total volume occupied by the tennis balls is: 65.41 in^3/ball * 12 balls = 784.92 in^3 (rounded to two decimal places).

Therefore, the space in the container that is empty is: 3200 in^3 - 784.92 in^3 = 2415.08 in^3 (rounded to two decimal places).

Rounded to the nearest whole number, the empty space in the container is approximately 2415 in^3.