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A solid cylinder with radius 3 inches sits in a cylindrical

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A solid cylinder with radius 3 inches sits in a cylindrical  [#permalink]

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New post Updated on: 20 Feb 2017, 11:30
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Difficulty:

  55% (hard)

Question Stats:

75% (03:03) correct 25% (02:52) wrong based on 123 sessions

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A solid cylinder with radius 3 inches sits in a cylindrical container containing water. The cylindrical container has radius 4 inches, and the water is 6/π inches deep. If the solid cylinder is removed from the container, what will be the depth of the water (in inches)?

A) \(\frac{2}{3π}\)

B) \(\frac{9}{4π}\)

C) \(\frac{7}{3π}\)

D) \(\frac{21}{8π}\)

E) \(\frac{3}{π}\)

* Kudos for all correct solutions

EDIT: I changed the answer choices after I was alerted to a mistake I made.

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Originally posted by GMATPrepNow on 20 Feb 2017, 09:46.
Last edited by GMATPrepNow on 20 Feb 2017, 11:30, edited 1 time in total.
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Re: A solid cylinder with radius 3 inches sits in a cylindrical  [#permalink]

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New post 20 Feb 2017, 10:21
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GMATPrepNow wrote:
Image

A solid cylinder with radius 3 inches sits in a cylindrical container containing water. The cylindrical container has radius 4 inches, and the water is 6/π inches deep. If the solid cylinder is removed from the container, what will be the depth of the water (in inches)?

A) \(\frac{2}{3π}\)

B) \(\frac{1}{π}\)

C) \(\frac{3}{2π}\)

D) \(\frac{2}{π}\)

E) \(\frac{3}{π}\)

* Kudos for all correct solutions



total volume with cylender inserted - volume of only cylender = volume of water with new height
16π*6/π - 9π*6/π = 16π*H
thus H= 21/8π...........

not getting answer!!!!!!!!!

can anyone explian!!!!!!!!
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Re: A solid cylinder with radius 3 inches sits in a cylindrical  [#permalink]

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New post 20 Feb 2017, 10:31
1
[quote=[/img]

A solid cylinder with radius 3 inches sits in a cylindrical container containing water. The cylindrical container has radius 4 inches, and the water is 6/π inches deep. If the solid cylinder is removed from the container, what will be the depth of the water (in inches)?

A) \(\frac{2}{3π}\)

B) \(\frac{1}{π}\)

C) \(\frac{3}{2π}\)

D) \(\frac{2}{π}\)

E) \(\frac{3}{π}\)

* Kudos for all correct solutions[/quote]

Same problem

Volume of water: volume of water tank - volume of inserted cylinder = 16π*6/π - 9π*6/π = 96 - 54 = 42

Now for this volume we need to find new height with given radius:

16π*h = 42

h=42/16π = 21/8π

Does not agree with option choices
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Re: A solid cylinder with radius 3 inches sits in a cylindrical  [#permalink]

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New post 20 Feb 2017, 10:43
1
I also got 21/8π, which does not agree with any of the answer choices.
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Re: A solid cylinder with radius 3 inches sits in a cylindrical  [#permalink]

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New post 20 Feb 2017, 11:31
Top Contributor
Argh!!!!
I solved that question TWICE before posting it and, each time I subtracted 96 - 54, I got 32 (instead of 42) :oops:

I have edited the answer choices accordingly.

Cheers,
Brent
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Re: A solid cylinder with radius 3 inches sits in a cylindrical  [#permalink]

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New post 20 Feb 2017, 11:46
GMATPrepNow wrote:
Argh!!!!
I solved that question TWICE before posting it and, each time I subtracted 96 - 54, I got 32 (instead of 42) :oops:

I have edited the answer choices accordingly.

Cheers,
Brent



Ahhh...

and i was trying to convert 42 to somehow into 32
but it was quiet difficult to find your fault with numbers provided in stem!!!!!! :)
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A solid cylinder with radius 3 inches sits in a cylindrical  [#permalink]

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New post 06 Jul 2017, 14:28
rohit8865 wrote:
GMATPrepNow wrote:
Image

A solid cylinder with radius 3 inches sits in a cylindrical container containing water. The cylindrical container has radius 4 inches, and the water is 6/π inches deep. If the solid cylinder is removed from the container, what will be the depth of the water (in inches)?

A) \(\frac{2}{3π}\)

B) \(\frac{1}{π}\)

C) \(\frac{3}{2π}\)

D) \(\frac{2}{π}\)

E) \(\frac{3}{π}\)

* Kudos for all correct solutions



total volume with cylender inserted - volume of only cylender = volume of water with new height
16π*6/π - 9π*6/π = 16π*H
thus H= 21/8π...........

not getting answer!!!!!!!!!

can anyone explian!!!!!!!!


Hi rohit,

Can you please explain how are you getting this formula?


total volume with cylender inserted - volume of only cylender = volume of water with new height
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Re: A solid cylinder with radius 3 inches sits in a cylindrical  [#permalink]

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New post 23 Aug 2018, 02:10
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: A solid cylinder with radius 3 inches sits in a cylindrical &nbs [#permalink] 23 Aug 2018, 02:10
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