Find all School-related info fast with the new School-Specific MBA Forum

It is currently 23 Jul 2014, 17:53

Close

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

A 10-by-6 inch piece of paper is used to form

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Senior Manager
Senior Manager
avatar
Joined: 28 Aug 2010
Posts: 267
Followers: 3

Kudos [?]: 66 [0], given: 11

GMAT Tests User
A 10-by-6 inch piece of paper is used to form [#permalink] New post 10 Jan 2011, 18:00
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

54% (01:57) correct 46% (00:43) wrong based on 56 sessions
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 lateral surface, which of the following must be true of the two possible cylinders that can be formed?

A. The volume of the cylinder with height 10 is \frac{60}{\pi} cubic inches greater than the volume of the cylinder with height 6.

B. The volume of the cylinder with height 6 is \frac{60}{\pi} cubic inches greater than the volume of the cylinder with height 10.

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

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

E. The volume of the cylinder with height 6 is \frac{240}{\pi} cubic inches greater than the volume of the cylinder with height 10.
[Reveal] Spoiler: OA

_________________

Verbal:new-to-the-verbal-forum-please-read-this-first-77546.html
Math: new-to-the-math-forum-please-read-this-first-77764.html
Gmat: everything-you-need-to-prepare-for-the-gmat-revised-77983.html
-------------------------------------------------------------------------------------------------
Ajit


Last edited by Bunuel on 21 Jun 2014, 06:43, edited 1 time in total.
Edited the question
Intern
Intern
avatar
Joined: 08 Jun 2010
Posts: 10
Followers: 0

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

Re: A 10-by-6 inch piece of paper is used to form [#permalink] New post 10 Jan 2011, 19:11
Simple math
1. Answer choices asking about difference in volumes
2. Find volume (pi)*r^2*h of each
case a: 2(pi)r =10 and h = 6 --> (pi)r^2*h = (pi) [10/2*(pi)]^2 * 6 = 25*6/(pi) = 150/pi
case b: 2(pi)r =6 and h = 10 --> (pi)r^2*h = (pi) [6/2*(pi)]^2 * 10 = 9*10/(pi) = 90/pi
3. Difference is 60/pi
4. So [case a volume] when h = 6 is greater than [case b volume ] when h = 10, by 60/(pi)
Intern
Intern
avatar
Joined: 05 Feb 2014
Posts: 48
Followers: 0

Kudos [?]: 6 [0], given: 49

Re: A 10-by-6 inch piece of paper is used to form [#permalink] New post 21 Jun 2014, 02:32
Bunuel , can you please explain this problem. I am not able to understand the difference between Option B and D. According to me option D should be correct but its not.
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 18707
Followers: 3237

Kudos [?]: 22285 [0], given: 2611

Re: A 10-by-6 inch piece of paper is used to form [#permalink] New post 21 Jun 2014, 06:59
Expert's post
gauravsoni wrote:
Bunuel , can you please explain this problem. I am not able to understand the difference between Option B and D. According to me option D should be correct but its not.


The difference is that B says "\frac{60}{\pi}", while D says: "60\pi". Formatted the original post to make it clearer.

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 lateral surface, which of the following must be true of the two possible cylinders that can be formed?

A. The volume of the cylinder with height 10 is \frac{60}{\pi} cubic inches greater than the volume of the cylinder with height 6.

B. The volume of the cylinder with height 6 is \frac{60}{\pi} cubic inches greater than the volume of the cylinder with height 10.

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

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

E. The volume of the cylinder with height 6 is \frac{240}{\pi} cubic inches greater than the volume of the cylinder with height 10.

We can make 2 cylinders:

With height of 6 and the radius of the base of r=\frac{5}{\pi} (from 2\pi{r}=10 --> r=\frac{5}{\pi}) --> volume=\pi{r^2}h=\frac{150}{\pi}.

With height of 10 and the radius of the base of r=\frac{3}{\pi} (from 2\pi{r}=6 --> r=\frac{3}{\pi}) --> volume=\pi{r^2}h=\frac{90}{\pi}.

The volume of the first one is \frac{60}{\pi} cubic inches greater than the volume of the second one.

Answer: B.


_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
25 extra-hard Quant Tests

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Intern
Intern
avatar
Joined: 05 Feb 2014
Posts: 48
Followers: 0

Kudos [?]: 6 [0], given: 49

Re: A 10-by-6 inch piece of paper is used to form [#permalink] New post 22 Jun 2014, 00:23
Bunuel wrote:
gauravsoni wrote:
Bunuel , can you please explain this problem. I am not able to understand the difference between Option B and D. According to me option D should be correct but its not.


The difference is that B says "\frac{60}{\pi}", while D says: "60\pi". Formatted the original post to make it clearer.

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 lateral surface, which of the following must be true of the two possible cylinders that can be formed?

A. The volume of the cylinder with height 10 is \frac{60}{\pi} cubic inches greater than the volume of the cylinder with height 6.

B. The volume of the cylinder with height 6 is \frac{60}{\pi} cubic inches greater than the volume of the cylinder with height 10.

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

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

E. The volume of the cylinder with height 6 is \frac{240}{\pi} cubic inches greater than the volume of the cylinder with height 10.

We can make 2 cylinders:

With height of 6 and the radius of the base of r=\frac{5}{\pi} (from 2\pi{r}=10 --> r=\frac{5}{\pi}) --> volume=\pi{r^2}h=\frac{150}{\pi}.

With height of 10 and the radius of the base of r=\frac{3}{\pi} (from 2\pi{r}=6 --> r=\frac{3}{\pi}) --> volume=\pi{r^2}h=\frac{90}{\pi}.

The volume of the first one is \frac{60}{\pi} cubic inches greater than the volume of the second one.

Answer: B.




Thanks Bunuel, I thought of using the width of the rectangle as the radius, now i see that its actually the circumference of the circular base. Thanks for the clarification.
Re: A 10-by-6 inch piece of paper is used to form   [#permalink] 22 Jun 2014, 00:23
    Similar topics Author Replies Last post
Similar
Topics:
A 10-by-6 inch piece of paper is used to form the lateral mun23 0 03 Mar 2013, 13:06
1 A 10-by-6 inch piece of paper is used to form the lateral baker2145 9 28 Jul 2011, 08:34
In a certain game, a one-inch square piece is placed in the arjtryarjtry 5 02 Aug 2008, 01:24
In a certain game, a one-inch square piece is placed in the lsuguy7 3 21 May 2008, 12:13
A 10-by-6 inch piece of paper is used to form the lateral pinal2 9 04 Dec 2007, 08:45
Display posts from previous: Sort by

A 10-by-6 inch piece of paper is used to form

  Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Privacy Policy| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

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®.