GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 16 Aug 2018, 01:10

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# PS: Volume of the Cylinder

 post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
Senior Manager
Joined: 21 Apr 2008
Posts: 265
Location: Motortown
PS: Volume of the Cylinder  [#permalink]

### Show Tags

Updated on: 02 Nov 2008, 10:03
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions

### HideShow timer Statistics

Source:MGMAT CAT
Even after looking at OE, I still can't understand this problem

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.

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

Originally posted by LiveStronger on 02 Nov 2008, 09:00.
Last edited by LiveStronger on 02 Nov 2008, 10:03, edited 1 time in total.
Current Student
Joined: 28 Dec 2004
Posts: 3280
Location: New York City
Schools: Wharton'11 HBS'12
Re: PS: Volume of the Cylinder  [#permalink]

### Show Tags

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

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...
Senior Manager
Joined: 21 Apr 2008
Posts: 265
Location: Motortown
Re: PS: Volume of the Cylinder  [#permalink]

### Show Tags

02 Nov 2008, 10:02
I think when I copied and pasted it, 'pi' went missing
I am editiing my post
Intern
Joined: 14 Sep 2003
Posts: 43
Location: california
Re: PS: Volume of the Cylinder  [#permalink]

### Show Tags

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
_________________

excellence is the gradual result of always striving to do better

Current Student
Joined: 28 Dec 2004
Posts: 3280
Location: New York City
Schools: Wharton'11 HBS'12
Re: PS: Volume of the Cylinder  [#permalink]

### Show Tags

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

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

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Re: PS: Volume of the Cylinder &nbs [#permalink] 02 Nov 2008, 10:23
Display posts from previous: Sort by

# PS: Volume of the Cylinder

 post reply Question banks Downloads My Bookmarks Reviews Important topics

# Events & Promotions

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.