A cylinder with a radius of 1 cm and a height of 21 cm has the same volume as a cone with a height of 7 cm. What is the radius of the cone?

Question

Mathematics

Barbara Strong

11 July, 02:56

A cylinder with a radius of 1 cm and a height of 21 cm has the same volume as a cone with a height of 7 cm. What is the radius of the cone?

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Answers (1)

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Andrea Arnold · Answer 1

Volume of the cylinder = πr²h = π (1) ² (21) = 21π cm³

Volume of the cone = 1/3 π r² h

21π = 1/3 π (r) ² (7)

r³ = 21π : (7/3 π)

r² = 9

r = 3

Answer : Radius = 3