Two oil cans,X and Y,are right circular cylinders,and the he : GMAT Problem Solving (PS)
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# Two oil cans,X and Y,are right circular cylinders,and the he

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Manager
Joined: 04 Jan 2013
Posts: 80
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Kudos [?]: 9 [0], given: 1

Two oil cans,X and Y,are right circular cylinders,and the he [#permalink]

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21 Jan 2013, 01:41
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Two oil cans,X and Y,are right circular cylinders,and the height and the radius of Y are both twice those of X.if the oil can X,which is filled to capacity,sells for $2,them at the same rate,how much does the oil can Y sell for if Y is filled to only half its capacity? A.$1 B.$2 C.$3 D.$4 E.$8

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Manager
Joined: 12 Mar 2012
Posts: 94
Location: India
Concentration: Technology, Strategy
GMAT 1: 710 Q49 V36
GPA: 3.2
WE: Information Technology (Computer Software)
Followers: 9

Kudos [?]: 318 [0], given: 22

Re: Two oil cans,X and Y,are right circular cylinders,and the he [#permalink]

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21 Jan 2013, 01:51
Let us suppose the radius and height of can X are r and h respectively. So the radius and height of can Y will be 2r and 2h respectively.
Volume of X = 3.14 * r^2 * h
Volume of Y = 3.14 * (2r)^2 * 2h = 8 * 3.14 * r^2 * h = 8 times of X's volume.
Since X is sold for $2, and Y is filled to only half of its capacity, Y will be sold for 4 *$2 ( half of Y's volume = 8/2 * X's volume ) = \$8.
Please provide Kudos if you like my explanation.
Manager
Joined: 04 Jan 2013
Posts: 80
Followers: 0

Kudos [?]: 9 [0], given: 1

Re: Two oil cans,X and Y,are right circular cylinders,and the he [#permalink]

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21 Jan 2013, 02:20
no doubt at abhii6 you..you deserve a kudos.. +1 for nice reply..hey i have never done a kudos before but i guess thats how it is done..if not then please tell me i will readily redo it

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Manager
Joined: 12 Mar 2012
Posts: 94
Location: India
Concentration: Technology, Strategy
GMAT 1: 710 Q49 V36
GPA: 3.2
WE: Information Technology (Computer Software)
Followers: 9

Kudos [?]: 318 [0], given: 22

Re: Two oil cans,X and Y,are right circular cylinders,and the he [#permalink]

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21 Jan 2013, 02:39
Thanks Frazer for the Kudos.
Re: Two oil cans,X and Y,are right circular cylinders,and the he   [#permalink] 21 Jan 2013, 02:39
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