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PS - Water from one cylinder tank to another (m25#37)

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kkalyan
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PS - Water from one cylinder tank to another (m25#37) [#permalink] New post   06 Oct 2011, 03:38
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A cylinder tank with radius of the base 1 and height 2 is half full of water. If all the water is poured into another cylinder tank with height 1 and radius of the base 2, to what percent of its capacity will this new tank be filled?

(C) 2008 GMAT Club - m25#37

(A) 20%
(B) 25%
(C) 32%
(D) 35%
(E) 40%

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Re: PS - Water from one cylinder tank to another (m25#37) [#permalink] New post   06 Oct 2011, 04:19
kkalyan wrote:
A cylinder tank with radius of the base 1 and height 2 is half full of water. If all the water is poured into another cylinder tank with height 1 and radius of the base 2, to what percent of its capacity will this new tank be filled?

(C) 2008 GMAT Club - m25#37

20%
25%
32%
35%
40%


Volume of a cylinder= \(\pi*r^2*h\)

Volume of a cylinder 1= \(\pi*(1)^2*2=2 \pi\). Since the tank is half filled, Volume of water=\(\frac{2 \pi}{2}=\pi\)
Volume of a cylinder 2= \(\pi*(2)^2*1=4 \pi\)

% of water in 2= [(Volume of water)/(Volume of a cylinder 2)]*100

% of water in 2 \(=\frac{\pi}{4 \pi}*100=25%\)

Ans: "B"
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Re: PS - Water from one cylinder tank to another (m25#37) [#permalink] New post   06 Oct 2011, 07:27
vol of cylinder1 = \(\pi*r^2h = 2\pi\)
vol of cylinder2 = \(\pi*r^2h = 4\pi\)

vol of cyl2 is twice that of cyl1. so if cyl1 is 1/2 filled then cyl2 must be \(\frac{1}{4}\) filled i.e. 25%
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Re: PS - Water from one cylinder tank to another (m25#37) [#permalink] New post   06 Oct 2011, 08:42
Vol. of cylinder =\pi*r^2*h

V is proportional to height and square of radius

v1/v2=1/2

Hence 25%
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Re: PS - Water from one cylinder tank to another (m25#37) [#permalink] New post   02 Nov 2011, 07:25
volume of cylinder1 should half of cylinder2 by using the formula. thus half of cylinder 1 should be 1/4 of cylinder2.
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Re: PS - Water from one cylinder tank to another (m25#37) [#permalink] New post   07 Nov 2011, 12:59
What is source of this problem?

[edit] sorry. I see the source listed in the original post.
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Re: PS - Water from one cylinder tank to another (m25#37) [#permalink] New post   23 Mar 2012, 01:54
Volume of the cylinder with radius 1 and radius 2 is: (22/7)*1*2=2*(22/7)... half filled cylinder then the voulme is (22/7)
Volume of the cylinder with radius 2 and height 1 is: (22/7)*4*1=4*(22/7)...

so the answer is 25%. B

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Re: PS - Water from one cylinder tank to another (m25#37) [#permalink]
23 Mar 2012, 01:54
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