The volume of a container measures 3,200 in. Cubed and contained 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 the nearest whole number if necessary

1 answer

The volume of the container is 3,200 cubic inches, and each tennis ball has a radius of 2.5 inches.

The volume of a sphere can be calculated using the formula V = (4/3) * pi * r^3, where V is the volume and r is the radius.

The volume of one tennis ball is (4/3) * 3.14 * (2.5)^3 = 65.45 cubic inches.

Since there are a dozen tennis balls, the total volume of the tennis balls is 65.45 * 12 = 785.4 cubic inches.

The space empty in the container is calculated by subtracting the volume of the tennis balls from the total volume of the container:

Empty space = 3,200 - 785.4 = 2,414.6 cubic inches.

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