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.m

Answer 1

The volume of one tennis ball can be calculated using the formula for the volume of a sphere:

V = (4/3) * π * r^3
V = (4/3) * 3.14 * 2.5^3
V = (4/3) * 3.14 * 15.625
V ≈ 65.453 cubic inches

Since there are a dozen tennis balls, the total volume taken up by the tennis balls is:

12 * 65.453 ≈ 785 cubic inches

To find out how much empty space is in the container, we subtract the volume taken up by the tennis balls from the total volume of the container:

3,200 - 785 = 2,415 cubic inches

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