Question

The volume of a container measures 3,200 inches cubed 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

Answer 1

The formula to calculate the volume of a sphere is given by V = (4/3) * pi * r^3.
Given that each tennis ball has a radius of 2.5 inches, the volume of each tennis ball is:
V_ball = (4/3) * 3.14 * (2.5)^3 = 65.45 inches cubed

Since there are a dozen tennis balls, the total volume occupied by the tennis balls is:
V_total = 12 * 65.45 = 785.4 inches cubed

The empty space in the container is the difference between the total volume of the container and the volume occupied by the tennis balls:
Empty space = 3200 - 785.4 = 2414.6 inches cubed.

Rounding to the nearest whole number, the empty space in the container is 2415 inches cubed.