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

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CEO
Joined: 11 Sep 2015
Posts: 3237
A solid cylinder with radius 3 inches sits in a cylindrical  [#permalink]

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Updated on: 20 Feb 2017, 11:30
2
Top Contributor
6
00:00

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

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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.
VP
Joined: 05 Mar 2015
Posts: 1004
Re: A solid cylinder with radius 3 inches sits in a cylindrical  [#permalink]

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20 Feb 2017, 10:21
1
GMATPrepNow wrote:

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...........

can anyone explian!!!!!!!!
Intern
Joined: 19 Jan 2017
Posts: 5
Re: A solid cylinder with radius 3 inches sits in a cylindrical  [#permalink]

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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
Intern
Joined: 01 Apr 2015
Posts: 20
Location: United States
Re: A solid cylinder with radius 3 inches sits in a cylindrical  [#permalink]

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20 Feb 2017, 10:43
1
I also got 21/8π, which does not agree with any of the answer choices.
CEO
Joined: 11 Sep 2015
Posts: 3237
Re: A solid cylinder with radius 3 inches sits in a cylindrical  [#permalink]

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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)

I have edited the answer choices accordingly.

Cheers,
Brent
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VP
Joined: 05 Mar 2015
Posts: 1004
Re: A solid cylinder with radius 3 inches sits in a cylindrical  [#permalink]

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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)

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!!!!!!
Senior Manager
Joined: 21 Aug 2016
Posts: 264
Location: India
GPA: 3.9
WE: Information Technology (Computer Software)
A solid cylinder with radius 3 inches sits in a cylindrical  [#permalink]

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06 Jul 2017, 14:28
rohit8865 wrote:
GMATPrepNow wrote:

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...........

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
Non-Human User
Joined: 09 Sep 2013
Posts: 9152
Re: A solid cylinder with radius 3 inches sits in a cylindrical  [#permalink]

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23 Aug 2018, 02:10
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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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