If the radius of this cylinder is doubled, its volume will be ... A. twice as much. B. four times as much. C. eight times as much

Question

Elle

Mathematics

11 January, 20:04

If the radius of this cylinder is doubled, its volume will be ... A. twice as much. B. four times as much. C. eight times as much

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Answers (1)

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Alice Cook · Answer 1

The volume of a cylinder is expressed as:

Volume = πr²h

where r is the radius of the base and h is the height of the cylinder. If the r is doubled then,

Volume = π (2r) ²h

Volume = 4πr²h

Therefore, the correct answer is option B. The volume is four times as much the original volume.