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A right cylindrical container with radius 2 meters and

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A right cylindrical container with radius 2 meters and [#permalink] New post 11 Mar 2008, 15:51
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Question Stats:

76% (01:50) correct 24% (00:53) wrong based on 45 sessions
A right cylindrical container with radius 2 meters and height 1 meter is filled to capacity with oil. How many empty right cylindrical cans, each with radius 1/2 meter and height 4 meters, can be filled to capacity with the oil in this container?

(A) 1
(B) 2
(C) 4
(D) 8
(E) 16
[Reveal] Spoiler: OA

Last edited by el1981 on 11 Mar 2008, 17:08, edited 1 time in total.
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Re: PS: Capacity [#permalink] New post 11 Mar 2008, 15:57
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Volume of 1st cylinder = Pi*2^2*1 = 4pi
Volume of 2nd cylinder = Pi*(1/2)^2*4 = pi

Volume of 1st cylinder/Volume of 2nd cylinder = 4pi/pi = 4

So 4 new cylinder can be filled with oil from old cylinder.

Answer C.

Last edited by abhijit_sen on 11 Mar 2008, 17:28, edited 1 time in total.
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Re: PS: Capacity [#permalink] New post 11 Mar 2008, 16:19
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I get answer A as well...
Pi 2^2 x 1 = 4 Pi
Pi 1 ^2 x 4 = 4 Pi
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Re: PS: Capacity [#permalink] New post 11 Mar 2008, 17:11
C.
Volume of 1st cylinder is 4pi
Volume of 2nd cylinder will be 1pi.
So 4 empty cylinders can be filled.
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Re: PS: Capacity [#permalink] New post 11 Mar 2008, 17:54
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A right cylindrical container with radius 2 meters and height 1 meter is filled to capacity with oil. How many empty right cylindrical cans, each with radius 1/2 meter and height 4 meters, can be filled to capacity with the oil in this container?
(A) 1 (B) 2 (C) 4
(D) 8 (E) 16

The original question read each with radius meter and height 4 meters. It now reads "1/2 meter..." then the answer changes 1 pi, 4 cans.
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Re: PS: Capacity [#permalink] New post 12 Mar 2008, 06:17
I definitely agree that original question was asking with second cyclinder having radius a meter so I also went for 1. However after seen that question changed to radius of 1/2, I edited my answer accordingly.
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Re: PS: Capacity [#permalink] New post 12 Mar 2008, 06:29
el1981 wrote:
A right cylindrical container with radius 2 meters and height 1 meter is filled to capacity with oil. How many empty right cylindrical cans, each with radius 1/2 meter and height 4 meters, can be filled to capacity with the oil in this container?
(A) 1 (B) 2 (C) 4
(D) 8 (E) 16


v= pir^2

4pi=v.

v of other container: 1/2^2pi4 ---> pi

thus 4.

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Re: A right cylindrical container with radius 2 meters and [#permalink] New post 04 Apr 2014, 20:12
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Re: A right cylindrical container with radius 2 meters and   [#permalink] 04 Apr 2014, 20:12
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