Three tennis balls each have a radius of 2 inches. They are put into a 12 inch high cylinder with a

Publish date: 2024-06-02
Three tennis balls each have a radius of 2 inches. They are put into a 12 inch high cylinder with a 4 inch diameter. What is the volume of the space remaining in the cylinder?

Volume of each ball is 4/3 πr^3
V = 4/3 * 3.1415 * 2^3
V = 1.33 * 3.1415 * 8 = 33.41 cubic inches

The volume of 3 balls is:
V = 3(33.41)
V = 100.23

Volume of the cylinder is area of circle times height:
V = 3.14 * 2 * 2 * 1 = 150.72

Volume of remaining space is:
V = Volume of cylinder - Volume of 3 balls
V = 150.72 - 100.23
V = 50.49

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