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

Blaze Cunningham

8 October, 23:07

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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Genesis Browning · 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