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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: 399
GMAT 1: 620 Q42 V33
GMAT 2: 680 Q44 V38
GPA: 3.43
WE: Engineering (Entertainment and Sports)
Followers: 29

Kudos [?]: 635 [2] , given: 100

A soda can, in the shape of a right circular cylinder, is [#permalink]  28 May 2012, 01:50
2
KUDOS
00:00

Difficulty:

25% (medium)

Question Stats:

72% (02:04) correct 28% (01:11) wrong based on 108 sessions
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
Math Expert
Joined: 02 Sep 2009
Posts: 31287
Followers: 5349

Kudos [?]: 62227 [1] , given: 9444

Re: A soda can, in the shape of a right circular cylinder, is [#permalink]  28 May 2012, 01:56
1
KUDOS
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 $$\pi{r^2}h$$ --> $$\pi{4^2}h=96\pi$$ --> $$h=6$$.

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