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.

Question

Mathematics

Eric Villegas

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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Macias · Answer 1

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