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# geometry question- something obvious I am missing here!?

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Intern
Joined: 16 Jan 2011
Posts: 3

Kudos [?]: [0], given: 3

geometry question- something obvious I am missing here!? [#permalink]

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15 Apr 2011, 07:51
I came across the following MGMAT geometry question which looks relatively straight forward at first-

A rectangular box has the dimensions 12 inches x 10 inches x 8 inches. What is the largest possible volume of a right circular cylinder that can be placed inside the box?

I calculated the answer as follows:
for the cylinder, r= 12/2 =6 and h=10 => area = \pi*r^2*h = \pi*6^2*10 = 360*\pi

However the MGMAT solution to this says that the radius can only be taken as 4 or 5 and hence the right answer is \pi*5^2*8=200*\pi

I am stumped about why they not considering the 12 inch dimension.. is there something obvious I am missing here?

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Manager
Joined: 09 Mar 2011
Posts: 104

Kudos [?]: 52 [2], given: 29

Location: EU
Re: geometry question- something obvious I am missing here!? [#permalink]

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15 Apr 2011, 08:08
2
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Hi, sidnskid,
this issue has been discussed here.

In short:

Cheers
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Kudos [?]: 52 [2], given: 29

Re: geometry question- something obvious I am missing here!?   [#permalink] 15 Apr 2011, 08:08
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