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

Discussion in 'Calculator Requests' started by math_celebrity, Feb 24, 2023.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    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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