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If the radius of a right circular cylinder is doubled and th

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If the radius of a right circular cylinder is doubled and th [#permalink] New post 23 Jan 2018, 15:01
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90% (00:58) correct 10% (02:18) wrong based on 10 sessions


If the radius of a right circular cylinder is doubled and the height is tripled, how does the volume of the cylinder change?

It is 2 times as much as before.

It is 4 times as much as before.

It is 3 times as much as before.

It is 6 times as much as before.

It is 12 times as much as before.

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[Reveal] Spoiler: OA

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Re: If the radius of a right circular cylinder is doubled and th [#permalink] New post 24 Jan 2018, 03:10
V1=22/7 r^2h
V1=22/7(2r)^2*3h
=12(22/7r^2h)

Therefore 12 times as before
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Re: If the radius of a right circular cylinder is doubled and th [#permalink] New post 25 Jan 2018, 04:21
Set up the formula for the volume of a right circular cylinder:
Volume = height * radius² * π
now plugin the given factors for each variable:
3 * h * (2*r)² * π (note that the radius * 2 must be taken to the power of 2)
solve to get: V = 3 * h * 4 * r² * π which equals V = 12 * height * radius² * π.
Compared to the original volume formula, this one is 12 times larger.
-> answer E is correct
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Re: If the radius of a right circular cylinder is doubled and th [#permalink] New post 03 Feb 2018, 04:08
Great Job!!!
Re: If the radius of a right circular cylinder is doubled and th   [#permalink] 03 Feb 2018, 04:08
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If the radius of a right circular cylinder is doubled and th

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