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# A closed cylindrical tank contains 36π cubic feet of water

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Intern
Joined: 06 Jul 2010
Posts: 2
A closed cylindrical tank contains 36π cubic feet of water  [#permalink]

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Updated on: 06 Jul 2010, 20:02
5
00:00

Difficulty:

45% (medium)

Question Stats:

71% (01:01) correct 29% (01:21) wrong based on 287 sessions

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A closed cylindrical tank contains 36π cubic feet of water and is filled to half its capacity. When the tank is placed upright on its circular base on level ground, the height of the water in the tank is 4 feet. When the tank is placed on its side on level ground, what is the height, in feet, of the surface of the water above the ground?

(A) 2
(B) 3
(C) 4
(D) 6
(E) 9

Official Guide 12 Question

 Question: 5 Page: 20 Difficulty: 750

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OPEN DISCUSSION OF THIS QUESTION IS HERE: a-closed-cylindrical-tank-contains-36pi-cubic-feet-of-water-134500.html

Originally posted by GMATSA on 06 Jul 2010, 19:36.
Last edited by GMATSA on 06 Jul 2010, 20:02, edited 1 time in total.
Kaplan GMAT Instructor
Joined: 21 Jun 2010
Posts: 70
Location: Toronto
Re: Question 5 Manhattan Diagnostic test.  [#permalink]

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06 Jul 2010, 20:40
1
[quote2GMATSA]I said: 36π = πr²(8) as the tank is half full and the water is 4ft high, the tank must be 8ft .[/quote2]

Hi,

the problem is that you are equating HALF of the cylinder's volume to FULL height. We know that 36pi is half of the cylinder's volume. So, when standing upright, we will have:

V/2 = pi*(r^2)*(h/2)

So, we will have:

36*pi = pi*(r^2)*(8/2)

Another way to think about it is to just visualize "away" the upper half of the cylinder. Then, it is clear that:

36*pi = pi*(r^2)*4
Intern
Joined: 06 Jul 2010
Posts: 2
Re: Question 5 Manhattan Diagnostic test.  [#permalink]

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06 Jul 2010, 20:53
Thanks so much, maybe my problem is comprehension.
Director
Joined: 13 Nov 2003
Posts: 764
Location: BULGARIA
Re: Question 5 Manhattan Diagnostic test.  [#permalink]

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06 Jul 2010, 23:33
Hi,
Think that a faster way would be to see that the cylinder is half full. Then you need to find the radius of the base since when the cylinder is in horizontal position it will be again half full i.e. to the middle of the base.
4*(r^2)*pi=36*pi, then r=3

Regards
Director
Joined: 29 Nov 2012
Posts: 749
Re: A closed cylindrical tank contains 36π cubic feet of water  [#permalink]

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25 Dec 2012, 23:08
stuck on this question.
Math Expert
Joined: 02 Sep 2009
Posts: 52910
Re: A closed cylindrical tank contains 36π cubic feet of water  [#permalink]

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26 Dec 2012, 02:58
fozzzy wrote:
stuck on this question.

Check here: a-closed-cylindrical-tank-contains-36pi-cubic-feet-of-water-134500.html
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Re: A closed cylindrical tank contains 36π cubic feet of water  [#permalink]

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13 Oct 2018, 09:09
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Re: A closed cylindrical tank contains 36π cubic feet of water   [#permalink] 13 Oct 2018, 09:09
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