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# A certain cylinder with radius, r, and height, h, has the same volume

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Math Expert
Joined: 02 Sep 2009
Posts: 58402
A certain cylinder with radius, r, and height, h, has the same volume  [#permalink]

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17 Jan 2019, 03:39
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Difficulty:

25% (medium)

Question Stats:

86% (01:09) correct 14% (01:12) wrong based on 17 sessions

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A certain cylinder with radius, r, and height, h, has the same volume as a cube with edge, e. If the radius of the cylinder equals the edge of the cube, what is h, in terms of e?

A eπ

B e^2*π

C e^5*π

D e/π

E e^2/π

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Re: A certain cylinder with radius, r, and height, h, has the same volume  [#permalink]

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17 Jan 2019, 06:47
Bunuel wrote:
A certain cylinder with radius, r, and height, h, has the same volume as a cube with edge, e. If the radius of the cylinder equals the edge of the cube, what is h, in terms of e?

A eπ

B e^2*π

C e^5*π

D e/π

E e^2/π

pi * r^2 * h = e^3
given r= e
so pi * e^2 * h = e^3
so h = e/pi
IMO D
Re: A certain cylinder with radius, r, and height, h, has the same volume   [#permalink] 17 Jan 2019, 06:47
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