Tommy decided to also make a sampler can with a diameter of 2 inches and a height of 3 inches. Tommy calculated that the area of the base was 4 pi squared inches, and multiplied that by the height of 3 inches for a total volume of 12 pi cubic inches. Explain the error Tommy made when calculating the volume of the can.

Question

Mathematics

Anne Acevedo

15 February, 09:29

Tommy decided to also make a sampler can with a diameter of 2 inches and a height of 3 inches. Tommy calculated that the area of the base was 4 pi squared inches, and multiplied that by the height of 3 inches for a total volume of 12 pi cubic inches. Explain the error Tommy made when calculating the volume of the can.

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Aiden · Answer 1

Tommy calculated the area of the base by squaring the diameter, not the radius. If he's going to use the diameter in the area formula, he needs to divide the result by 4.

A = πr² = πd²/4