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A rectangular steel container has three equal dimensions of

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A rectangular steel container has three equal dimensions of [#permalink] New post 06 Dec 2010, 01:58
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C
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Question Stats:

80% (01:43) correct 20% (00:42) wrong based on 55 sessions
A rectangular steel container has three equal dimensions of 8 inches. If a cylindrical canister is to be placed inside the box so that it stands upright when the box rests on one of its six faces, what is the maximum possible volume, in cubic inches, of the canister?

(A) 128
(B) 64
(C) 128(3.14)
(D) 512
(E) 512(3.14)
[Reveal] Spoiler: OA
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Re: Rectangular Solid [#permalink] New post 06 Dec 2010, 02:14
Expert's post
surendar26 wrote:
A rectangular steel container has three equal dimensions of 8 inches. If a cylindrical canister is to be placed inside the box so that it stands upright when the box rests on one of its six faces, what is the maximum possible volume, in cubic inches, of the canister?
(A) 128
(B) 64
(C) 128(3.14)
(D) 512
(E) 512(3.14)


"A rectangular steel container has three equal dimensions of 8 inches" means that the container is a cube. Now, cylinder to have maximum possible volume it should have maximum possible diameter and height, so a diameter equal to a side of the cube, so d=8 (radius=4) and a height also equal to a side of the cube, so height=8: volume_{cylinder}=\pi{r^2}h=128\pi.

Answer: C.
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Re: Rectangular Solid   [#permalink] 06 Dec 2010, 02:14
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