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trickygmat
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Tanks A and B are each in the shape of a right circular 11 Oct 2005, 14:50
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Tanks A and B are each in the shape of a right circular cylinder. The interior of tank A has a height of 10 meters and a circumference of 8 meters, and the interior of tank B has a height of 8 meters and a circumference of 10 meters. The capacity of tank A is what percent of the capacity of tank B?

A. 75%
B. 80%
C. 100%
D. 120%
E. 125%

this is an easy prob... But i am getting B as my ans whereas OA is C.



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gsr
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Tanks A and B are each in the shape of a right circular 11 Oct 2005, 15:01
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Vol A/Vol B = 0.8
So A's vol is 80% B's volume

Choice B
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vikramm
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Tanks A and B are each in the shape of a right circular 11 Oct 2005, 15:06
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trickygmat
Tanks A and B are each in the shape of a right circular cylinder. The interior of tank A has a height of 10 meters and a circumference of 8 meters, and the interior of tank B has a height of 8 meters and a circumference of 10 meters. The capacity of tank A is what percent of the capacity of tank B?

A. 75%
B. 80%
C. 100%
D. 120%
E. 125%

this is an easy prob... But i am getting B as my ans whereas OA is C.
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I get B too... can you post the explanation from the source?
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olorin
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Tanks A and B are each in the shape of a right circular 11 Oct 2005, 15:20
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I too have been tricked.

B for 80%.
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duttsit
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Tanks A and B are each in the shape of a right circular 11 Oct 2005, 16:32
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C.

for right circular cylinder:
volume = (circumference) * hight {(2*pi*r) * h}

both tanks has same volume:
10 * 8 = 8 * 10
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neelesh
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Tanks A and B are each in the shape of a right circular 11 Oct 2005, 19:28
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I am getting 80% too...

For cyl.A 2*pi*r = 8
=> r = 4/pi

For cyl.B 2*pi*r = 10
=> r = 5/pi

Vol.A = 160/pi, Vol.B = 200/pi.

A/B=80%

P.S: Note for the previous post - Volume of cylinder is never circumference*hieght (volume is always a cubic equation..)
Infact volume = area of top*height = pi*r^2*h
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vikramm
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Tanks A and B are each in the shape of a right circular 11 Oct 2005, 19:52
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duttsit
C.

for right circular cylinder:
volume = (circumference) * hight {(2*pi*r) * h}

both tanks has same volume:
10 * 8 = 8 * 10
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2*pi*r*h??? Volume is 2-Dimensional? Shouldnt it be pi*r^2*h.. its a cylinder.
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duttsit
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Tanks A and B are each in the shape of a right circular 12 Oct 2005, 09:01
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vikramm


2*pi*r*h??? Volume is 2-Dimensional? Shouldnt it be pi*r^2*h.. its a cylinder.
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My bad. you guys are right. it should be B.



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Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
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