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15 September, 19:54

Tennis balls with a diameter of 2.5 in. are sold in cans of three. The can is a cylinder. What is the volume of the space in the can that is not occupied by tennis balls? Assume the tennis balls touch the can on the sides, top, and bottom.

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  1. 15 September, 20:13
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    Using 3.14 for PI.

    The radius of a ball and the can is half the diameter = 1.25

    The height of the can is the height of 3 diameters = 7.5

    Volume of one tennis ball:

    4/3 x PI x 1.25^3 = 8.18 cubic inches.

    Volume of 3 tennis balls: 3 x 8.18 = 24.54 cubic inches.

    Volume of can:

    PI x 1.25^2 x 7.5 = 36.80 cubic inches.

    Space = 36.80 - 24.54 = 12.26 cubic inches.
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