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A cylindrical container with a radius of 3 and a height of 4

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A cylindrical container with a radius of 3 and a height of 4 [#permalink] New post 07 Feb 2004, 20:38
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A cylindrical container with a radius of 3 and a height of 4 is half filled with water. If this water is poured into a new cylindrical container with a radius of 6 and a height of 8, what fraction of the new container will be filled?

a) 1/64
b) 1/16
c) 1/8
d) 1/4
e) 1/2
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 [#permalink] New post 07 Feb 2004, 21:32
1/16, 1/3 phi r^2 h = 1/3 phi R^2 H . so 3*3*4/2 = x/y 6*6*8 so x/y = 1/16
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 [#permalink] New post 08 Feb 2004, 01:21
Volume of 1 st cylinder/volume of 2nd cylinder

3.14*3*3*4/3.14*6*6*8=1/16

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 [#permalink] New post 08 Feb 2004, 06:32
Yeah too simple.
I got the voulme ratio correct on this but forgot to mutiply it by half.

1/16 is correct

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 [#permalink] New post 08 Feb 2004, 16:57
Anand...how come vivek got the answer without dividing by 2..
his answer is not equal to 1/16..
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 [#permalink] New post 08 Feb 2004, 17:05
Hi shubhangi,

Yep u r right. Vivek's answer is wrong. May be he forgot to divide it by 2.
Did you get it right the first time?

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 [#permalink] New post 08 Feb 2004, 17:09
nope..same mistake as u did.. :cry:
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  [#permalink] 08 Feb 2004, 17:09
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A cylindrical container with a radius of 3 and a height of 4

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