Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

It is currently 17 Jul 2019, 04:12

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.

Close

Request Expert Reply

Confirm Cancel

If cylinder A has three times the height and one -third the diameter

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 56268
If cylinder A has three times the height and one -third the diameter  [#permalink]

Show Tags

New post 22 Feb 2018, 20:36
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

67% (01:57) correct 33% (01:42) wrong based on 53 sessions

HideShow timer Statistics


Intern
Intern
avatar
B
Joined: 09 Apr 2017
Posts: 4
Re: If cylinder A has three times the height and one -third the diameter  [#permalink]

Show Tags

New post 22 Feb 2018, 22:35
volume of a Cyclinder = 1/3*pi*r square*h , the variables are the radius and height . if diameter is reduced by 1/3 , then radius also reduced by 1/3 , height is increased 3 times.

vol a / vol b will be
->r square*h / 1/9 rsquare * 3h
-> 1/ 1/3
-> 3/1

3:1 is the answer
Retired Moderator
User avatar
P
Joined: 07 Jan 2016
Posts: 1090
Location: India
GMAT 1: 710 Q49 V36
Reviews Badge
Re: If cylinder A has three times the height and one -third the diameter  [#permalink]

Show Tags

New post 23 Feb 2018, 00:48
Bunuel wrote:
If cylinder A has three times the height and one -third the diameter of cylinder B, what is the ratio of the volume of A to the volume of B ?

(A) 3:1

(B) 1:1

(C) 1:3

(D) 1:9

(E) 1:27


v= 1/3 pi r^h

v1/v2 = r1^2 h 1 / r2^2 h2

h1 = 3h2

d1 = 1/3d2

2r1 = 1/3 2r2

r1 = r2/3

3r1 = r2

v1 = r1 ^2 h 1 = r2/9 x 3 h2 = r2^2h2/3

v2 = r2^2 h2

v1/v2 = 1/3
Veritas Prep GMAT Instructor
User avatar
D
Joined: 16 Oct 2010
Posts: 9441
Location: Pune, India
Re: If cylinder A has three times the height and one -third the diameter  [#permalink]

Show Tags

New post 23 Feb 2018, 01:02
Bunuel wrote:
If cylinder A has three times the height and one -third the diameter of cylinder B, what is the ratio of the volume of A to the volume of B ?

(A) 3:1

(B) 1:1

(C) 1:3

(D) 1:9

(E) 1:27


Vol of cylinder \(= \pi*r^2*h\)

One third the diameter means one third the radius too.

\(\frac{Vol of A}{Vol of B} = \frac{\pi * (r/3)^2 * 3h}{\pi * r^2 * h} = \frac{1}{3}\)

Answer (C)
_________________
Karishma
Veritas Prep GMAT Instructor

Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >
GMAT Club Bot
Re: If cylinder A has three times the height and one -third the diameter   [#permalink] 23 Feb 2018, 01:02
Display posts from previous: Sort by

If cylinder A has three times the height and one -third the diameter

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne