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

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Senior Manager
Affiliations: UWC
Joined: 09 May 2012
Posts: 393

Kudos [?]: 1661 [2], given: 100

GMAT 1: 620 Q42 V33
GMAT 2: 680 Q44 V38
GPA: 3.43
WE: Engineering (Entertainment and Sports)
A soda can, in the shape of a right circular cylinder, is [#permalink]

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28 May 2012, 02:50
2
KUDOS
00:00

Difficulty:

25% (medium)

Question Stats:

71% (01:01) correct 29% (01:18) wrong based on 158 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

Kudos [?]: 1661 [2], given: 100

Math Expert
Joined: 02 Sep 2009
Posts: 42305

Kudos [?]: 133076 [1], given: 12403

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

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28 May 2012, 02:56
1
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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 $$\pi{r^2}h$$ --> $$\pi{4^2}h=96\pi$$ --> $$h=6$$.

_________________

Kudos [?]: 133076 [1], given: 12403

Re: A soda can, in the shape of a right circular cylinder, is   [#permalink] 28 May 2012, 02:56
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