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PS: Volume of the Cylinder

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PS: Volume of the Cylinder [#permalink]

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New post 02 Nov 2008, 09:00
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Source:MGMAT CAT
Even after looking at OE, I still can't understand this problem :roll:

A 10-by-6 inch piece of paper is used to form the lateral surface of a cylinder. If the entire piece of paper is used to make the cylinder, which of the following must be true of the two possible cylinders that can be formed?

The volume of the cylinder with height 10 is 60/pi cubic inches greater than the volume of the cylinder with height 6.

The volume of the cylinder with height 6 is 60/pi cubic inches greater than the volume of the cylinder with height 10.

The volume of the cylinder with height 10 is 60pi cubic inches greater than the volume of the cylinder with height 6.

The volume of the cylinder with height 6 is 60pi cubic inches greater than the volume of the cylinder with height 10.

The volume of the cylinder with height 6 is 240/pi cubic inches greater than the volume of the cylinder with height 10.

Last edited by LiveStronger on 02 Nov 2008, 10:03, edited 1 time in total.

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Joined: 28 Dec 2004
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Re: PS: Volume of the Cylinder [#permalink]

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New post 02 Nov 2008, 09:59
LiveStronger wrote:
Source:MGMAT CAT
Even after looking at OE, I still can't understand this problem :roll:

A 10-by-6 inch piece of paper is used to form the lateral surface of a cylinder. If the entire piece of paper is used to make the cylinder, which of the following must be true of the two possible cylinders that can be formed?

The volume of the cylinder with height 10 is 60/ cubic inches greater than the volume of the cylinder with height 6.

The volume of the cylinder with height 6 is 60/ cubic inches greater than the volume of the cylinder with height 10.

The volume of the cylinder with height 10 is 60 cubic inches greater than the volume of the cylinder with height 6.

The volume of the cylinder with height 6 is 60 cubic inches greater than the volume of the cylinder with height 10.

The volume of the cylinder with height 6 is 240/ cubic inches greater than the volume of the cylinder with height 10.


isnt 2 and 3 the same?? anyways 2 and 3 are correct..

i remember on my real gmat i had some freaky weird surface area of sphere to a cylinder to cone question...so be sure to (and note to myself as well) is to brush up on surface areas and volumes of objects..

anyways..volume=pi*r^2*h you will see if the r=5, i.e diameter is going to be greater than when r=3...

Kudos [?]: 315 [0], given: 2

Senior Manager
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Re: PS: Volume of the Cylinder [#permalink]

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New post 02 Nov 2008, 10:02
I think when I copied and pasted it, 'pi' went missing :P
I am editiing my post

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Re: PS: Volume of the Cylinder [#permalink]

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New post 02 Nov 2008, 10:08
Pi went missing...figured as much :)

I'd pick Answer B

If 10" is the Height and 6" is the Circumference, then Radius = 3 / pi, as
2*pi*r = 6
Similarly for the other cylinder, Radius = 5 / pi
A quick ratio of their volumes suggests that the cyclinder with height 6 has more volume than the one with height 10
So eliminate A and C
By substituting the radii and applying the formula for a volume of a cyclinder
(pi x r^2 x h)
we get the difference in volume as 60 / pi
_________________

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Current Student
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Joined: 28 Dec 2004
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Kudos [?]: 315 [0], given: 2

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Re: PS: Volume of the Cylinder [#permalink]

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New post 02 Nov 2008, 10:23
LiveStronger wrote:
Source:MGMAT CAT
Even after looking at OE, I still can't understand this problem :roll:

A 10-by-6 inch piece of paper is used to form the lateral surface of a cylinder. If the entire piece of paper is used to make the cylinder, which of the following must be true of the two possible cylinders that can be formed?

The volume of the cylinder with height 10 is 60/pi cubic inches greater than the volume of the cylinder with height 6.

The volume of the cylinder with height 6 is 60/pi cubic inches greater than the volume of the cylinder with height 10.

The volume of the cylinder with height 10 is 60pi cubic inches greater than the volume of the cylinder with height 6.

The volume of the cylinder with height 6 is 60pi cubic inches greater than the volume of the cylinder with height 10.

The volume of the cylinder with height 6 is 240/pi cubic inches greater than the volume of the cylinder with height 10.


OK lets see..if we roll the paper such that circumfrance is 6, the pi*d=6 and Height=10

volume=pi*r^2*h, in this case 2pi*r=6 or r=3/pi

pi*9/pi^2 *10 =90/pi

if 2pi*r=10 then r=5/pi then volume = pi*25/pi^2 *6<-height =150/pi

150/pi -90/pi =60/pi

B it is

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Re: PS: Volume of the Cylinder   [#permalink] 02 Nov 2008, 10:23
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PS: Volume of the Cylinder

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