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10 July, 23:18

Some racquet balls are sold in cylindrical cans of three balls. Each ball has a diameter of 2.25 inches. The can has a diameter of 2.25 inches and is 6.75 inches tall. Find the volume of the empty space in the can. Use 3.14 for p. Round to the nearest hundredth.

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  1. 11 July, 02:03
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    1) Volume of each ball: [4/3]π (r^3) = [4/3]π (2.25/2) ^3 = 5.96 in^3

    2) Volume of 3 balss: 3*5.96 in^3 = 17.88 in^3

    3) Volumen of the cylindrical can: [πr^2]h = π (2.25/2) ^2 * 6.75 = 26.82 in^3

    4) Empty space: 26.82 in^3 - 17.88 in^3 = 8.94 in^3
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