A soda can, in the shape of a right circular cylinder, is : GMAT Problem Solving (PS)
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# A soda can, in the shape of a right circular cylinder, is

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Senior Manager
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Joined: 09 May 2012
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Kudos [?]: 1154 [2] , given: 100

A soda can, in the shape of a right circular cylinder, is [#permalink]

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28 May 2012, 01:50
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Difficulty:

25% (medium)

Question Stats:

72% (02:04) correct 28% (01:16) wrong based on 129 sessions

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A soda can, in the shape of a right circular cylinder, is 3/4 full of soda. If the volume of soda in the can is 72π cubic inches and the diameter of the can is 8 inches, then what is the height, in inches, of the can?

A. 1.5
B. 3
C. 4
D. 4.5
E. 6
[Reveal] Spoiler: OA
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Kudos [?]: 96857 [1] , given: 10808

Re: A soda can, in the shape of a right circular cylinder, is [#permalink]

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28 May 2012, 01:56
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Expert's post
macjas wrote:
A soda can, in the shape of a right circular cylinder, is 3/4 full of soda. If the volume of soda in the can is 72π cubic inches and the diameter of the can is 8 inches, then what is the height, in inches, of the can?

A. 1.5
B. 3
C. 4
D. 4.5
E. 6

Since the volume of soda in the can is $$72\pi$$ and the can is 3/4 full of soda then the volume of the can is $$\frac{3}{4}*can=72\pi$$ --> $$can=96\pi$$.

The volume of a cylinder is $$\pi{r^2}h$$ --> $$\pi{4^2}h=96\pi$$ --> $$h=6$$.

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Re: A soda can, in the shape of a right circular cylinder, is   [#permalink] 28 May 2012, 01:56
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