Question

The volume of a container measured 3,200in to the 3rd power .and contains a dozen tennis balls .Each tennis ball has a radius of 2.5in.how much space in the container is empty?Use 3.14 as an approximate for pi .Round to the nearest whole number ,if necessary

Answer 1

To find the volume of a tennis ball, we can use the formula for the volume of a sphere: V = (4/3)πr³, where r is the radius.

First, let's find the volume of one tennis ball:
V = (4/3)(3.14)(2.5³) cubic inches
V ≈ 65.45 cubic inches

Since there are a dozen (12) tennis balls in the container, the total volume occupied by the tennis balls is:
Total volume of tennis balls = 65.45 cubic inches/ball * 12 balls
Total volume of tennis balls ≈ 785.4 cubic inches

To find the volume of the empty space in the container, we subtract the volume occupied by the tennis balls from the total volume of the container:
Empty space volume = Total container volume - Total volume of tennis balls
Empty space volume = 3,200 cubic inches - 785.4 cubic inches
Empty space volume ≈ 2,414.6 cubic inches

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