You have a cylinder and you want to double its volume. Should you double it's radius or its height, or could you do either? why or why not?

Question

Mathematics

Todd Weeks

8 August, 20:03

You have a cylinder and you want to double its volume. Should you double it's radius or its height, or could you do either? why or why not?

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Answers (1)

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Micah Valentine · Answer 1

Answer: I should its height. I cannot do either, because if I double the radius, the Volume will quadruplicate.

Step-by-step explanation: the volume of a cylinder is

V = Ab. h = πr². h

Double h

V₁ = πr².2h = 2πr². h = 2V

Double r

V₂ = π (2r) ². h = π4r². h = 4πr². h = 4V