Last visit was: 23 Apr 2026, 08:44 It is currently 23 Apr 2026, 08:44
Home
Messages
Tests
Schools
Events
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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
Back to Forum
Create Topic
655-705 (Hard)|   Geometry|      
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 23 Apr 2026
Posts: 109,778
Own Kudos:
810,796
 [24]
Given Kudos: 105,853
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,778
Kudos: 810,796
 [24]
A cylinder of height h is 3/4 of water. When all of the water is poure 08 Jun 2015, 08:08
Kudos
Add Kudos
24
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

55% (hard)

Question Stats:

69% (02:35) correct 31% (02:42) wrong based on 415 sessions

History

Date
Time
Result
Not Attempted Yet
A cylinder of height h is 3/4 of water. When all of the water is poured into an empty cylinder whose radius is 25 percent larger than that of the original cylinder, the new cylinder is 3/5 full. The height of the new cylinder is what percent of h?

(A) 25%
(B) 50%
(C) 60%
(D) 80%
(E) 100%
ShowHide Answer
Official Answer
D
Most Helpful Reply
User avatar
Harley1980
User avatar
Retired Moderator
Joined: 06 Jul 2014
Last visit: 14 Jun 2024
Posts: 997
Own Kudos:
6,769
 [7]
Given Kudos: 178
Location: Ukraine
Concentration: Entrepreneurship, Technology
GMAT 1: 660 Q48 V33
GMAT 2: 740 Q50 V40
GMAT 2: 740 Q50 V40
Posts: 997
Kudos: 6,769
 [7]
A cylinder of height h is 3/4 of water. When all of the water is poure 08 Jun 2015, 08:39
5
Kudos
Add Kudos
2
Bookmarks
Bookmark this Post
Bunuel
A cylinder of height h is 3/4 of water. When all of the water is poured into an empty cylinder whose radius is 25 percent larger than that of the original cylinder, the new cylinder is 3/5 full. The height of the new cylinder is what percent of h?

(A) 25%
(B) 50%
(C) 60%
(D) 80%
(E) 100%

Kudos for a correct solution.
Show more

Volume of the first cylinder equal to \(pi*r^2h\)
Volume of the second cylinder equal to \(pi*(\frac{5}{4}r)^2x\) where x is height of second cylinder

We know that \(\frac{3}{4}\) of volume of first cylinder is equal to \(\frac{3}{5}\) of volume of second cylinder so we can write equation:

\(\frac{3}{4}*pi*r^2h=\frac{3}{5}*pi*(\frac{5}{4}r)^2x\)
By dividing this equation on \(pi*r\) we will receive such equation

\(\frac{3}{4}*h=\frac{3}{5}*(\frac{5}{4})^2x\) --> \(\frac{3}{4}h=\frac{15}{16}x\) --> \(\frac{x}{h}=\frac{4}{5}=80\)%
Answer is D
User avatar
chetan2u
User avatar
GMAT Expert
Joined: 02 Aug 2009
Last visit: 22 Apr 2026
Posts: 11,229
Own Kudos:
45,001
 [6]
Given Kudos: 335
Status:Math and DI Expert
Location: India
Concentration: Human Resources, General Management
GMAT Focus 1: 735 Q90 V89 DI81
Products:
My Reviews
Expert
Expert reply
GMAT Focus 1: 735 Q90 V89 DI81
Posts: 11,229
Kudos: 45,001
 [6]
A cylinder of height h is 3/4 of water. When all of the water is poure 08 Jun 2015, 08:28
3
Kudos
Add Kudos
3
Bookmarks
Bookmark this Post
Bunuel
A cylinder of height h is 3/4 of water. When all of the water is poured into an empty cylinder whose radius is 25 percent larger than that of the original cylinder, the new cylinder is 3/5 full. The height of the new cylinder is what percent of h?

(A) 25%
(B) 50%
(C) 60%
(D) 80%
(E) 100%

Kudos for a correct solution.
Show more

Since the radius ratio is 1:1.25 or 1*4:1.25*4 or 4:5..
lets take integer values for simplification..
original cylinder --- 4r and height h..
new ----5r and ht H...
so \(\pi*(4r)^2*\frac{3h}{4}=pi*(5r)^2*\frac{3H}{5}.\)..
so \(4h=5H\) or \(H= h*\frac{4}{5}\)... so 80%
ans D
General Discussion
User avatar
tjerkrintjema
User avatar
Joined: 04 May 2014
Last visit: 14 Jun 2015
Posts: 27
Own Kudos:
57
 [5]
Given Kudos: 13
Posts: 27
Kudos: 57
 [5]
A cylinder of height h is 3/4 of water. When all of the water is poure 08 Jun 2015, 11:26
5
Kudos
Add Kudos
Bookmarks
Bookmark this Post
A cylinder of height h is 3/4 of water. When all of the water is poured into an empty cylinder whose radius is 25 percent larger than that of the original cylinder, the new cylinder is 3/5 full. The height of the new cylinder is what percent of h?

(A) 25%
(B) 50%
(C) 60%
(D) 80%
(E) 100%

Basically we can disregard the radius is 25% information, as we are only asked about the height of the original and the new cylinder.
This is because "the new cylinder is 3/5 full" means the same as that it's height is 3/5.
Just to notate;

Original cylinder 3/4 = 0.75
New cylinder 3/5 = 0.60

So 3/5/3/4 = 3/5 * 4/3 = 12/15 = 4/5 = 0.80 or 80%.

Answer D
User avatar
balamoon
User avatar
Joined: 26 Dec 2011
Last visit: 04 May 2025
Posts: 111
Own Kudos:
313
 [2]
Given Kudos: 91
Schools: HBS '18 IIMA
Schools: HBS '18 IIMA
Posts: 111
Kudos: 313
 [2]
A cylinder of height h is 3/4 of water. When all of the water is poure 08 Jun 2015, 11:39
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Radius of new Cylinder R = (1+1/4) * r -> R = 5/4 * r

3/4*(area of old Cylinder with height h) = 3/5*(area of new Cylinder with height H)

3/4 * (pi*r^2*h) = 3/5 * (PI*R^2*H) ---> H=4/5*h -->Height of new Cylinder = 80% of height of old Cylinder

Ans is D.

Thanks

Please give me kudos.
User avatar
D3N0
User avatar
Joined: 21 Jan 2015
Last visit: 19 Mar 2026
Posts: 585
Own Kudos:
607
 [1]
Given Kudos: 132
Location: India
Concentration: Operations, Technology
Schools: Smeal'21 (WD) Arizona State'21 (A$) Simon '21 (WD)
GMAT 1: 620 Q48 V28
GMAT 2: 690 Q49 V35
WE:Operations (Retail: E-commerce)
Products:
My Reviews
Schools: Smeal'21 (WD) Arizona State'21 (A$) Simon '21 (WD)
GMAT 2: 690 Q49 V35
Posts: 585
Kudos: 607
 [1]
A cylinder of height h is 3/4 of water. When all of the water is poure 09 Jun 2015, 01:44
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
A cylinder of height h is 3/4 of water. When all of the water is poured into an empty cylinder whose radius is 25 percent larger than that of the original cylinder, the new cylinder is 3/5 full. The height of the new cylinder is what percent of h?

(A) 25%
(B) 50%
(C) 60%
(D) 80%
(E) 100%
Show more

Ans: D

soluton: volume formula V = Pi* r^2 * h

now put the values of r1,r2,h1 and h2 in below given equation

3/4 *V1= 4/5 *V2

we will get h2 = 4/5 h1
means 80%
avatar
bluesquare
avatar
Joined: 29 Mar 2015
Last visit: 01 Dec 2016
Posts: 39
Own Kudos:
65
 [1]
Given Kudos: 9
Location: United States
Products:
My Reviews
Posts: 39
Kudos: 65
 [1]
A cylinder of height h is 3/4 of water. When all of the water is poure 10 Jun 2015, 02:10
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
The volume of a cylinder is \(\pi r^2h\). Plugging in numbers: if the original cylinder has a radius of 4 and a height of 4, then the water has a height of 3 and therefore a volume of \(48\pi\). The new cylinder has a radius of 5 and a height of X and therefore a volume of \(25X\pi\). Because the water is only \(\frac{3}{5}\) the volume of the new cylinder, \(48\pi=\frac{3}{5}25X\pi\) -->
\(48=15X\) ->
\(X=\frac{48}{15}\). The percentage this is of the original height is \(\frac{\frac{48}{15}}{4}=\frac{12}{15}=\frac{4}{5}\) or D
avatar
Vaibhav21
avatar
Joined: 01 Jan 2015
Last visit: 09 Oct 2019
Posts: 47
Own Kudos:
14
 [2]
Given Kudos: 7
Posts: 47
Kudos: 14
 [2]
A cylinder of height h is 3/4 of water. When all of the water is poure 14 Jun 2015, 04:37
1
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
Ratio of radius = 1:1.25
original cylinder: 4R and height H1
new :5R and ht H2
so PIX(4R)^2X3H1/4=piX(5R)^2X3H2/5!
so 4H1=5H2 or H2= H1*4/5 = 80%
Answer D
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 23 Apr 2026
Posts: 109,778
Own Kudos:
810,796
Given Kudos: 105,853
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,778
Kudos: 810,796
A cylinder of height h is 3/4 of water. When all of the water is poure 15 Jun 2015, 03:24
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
A cylinder of height h is 3/4 of water. When all of the water is poured into an empty cylinder whose radius is 25 percent larger than that of the original cylinder, the new cylinder is 3/5 full. The height of the new cylinder is what percent of h?

(A) 25%
(B) 50%
(C) 60%
(D) 80%
(E) 100%

Kudos for a correct solution.
Show more

MANHATTAN GMAT OFFICIAL SOLUTION:

First, set up a table:
Attachment:
2015-06-15_1422.png
2015-06-15_1422.png [ 64.31 KiB | Viewed 11970 times ]
If the new cylinder is 3/5 full with this volume of water, we can set up an equation:
Attachment:
2015-06-15_1423.png
2015-06-15_1423.png [ 38.45 KiB | Viewed 11974 times ]
Therefore, x is 80% of h.

The correct answer is D.
avatar
JiddiHuMain
avatar
Joined: 06 May 2019
Last visit: 09 Jan 2020
Posts: 81
Own Kudos:
113
Given Kudos: 7
Location: India
Concentration: Leadership, Finance
Schools: LBS '22
GMAT 1: 710 Q51 V35
GPA: 4
WE:Information Technology (Computer Software)
Schools: LBS '22
GMAT 1: 710 Q51 V35
Posts: 81
Kudos: 113
A cylinder of height h is 3/4 of water. When all of the water is poure 30 Oct 2019, 22:17
Kudos
Add Kudos
Bookmarks
Bookmark this Post
let h is height of first cylinder and h' is height of 2nd cylinder.
as per given information-
liquid in cylinder 1 = liquid in cylinder 2 => r^2*h*(3/4)(22/7) =( r*5/4)^2*h'*(3/5)(22/7) ----> h*(3/4) = (25/16)(3/5)*h'---->h = h'*(5/4)---->h'= (4/5)*h-----> 80% of h.

Answer D - 80% is correct
User avatar
shashankism
User avatar
Joined: 13 Mar 2017
Last visit: 19 Feb 2026
Posts: 608
Own Kudos:
712
Given Kudos: 88
Affiliations: IIT Dhanbad
Location: India
Concentration: General Management, Entrepreneurship
GPA: 3.8
WE:Engineering (Energy)
Posts: 608
Kudos: 712
A cylinder of height h is 3/4 of water. When all of the water is poure 30 Oct 2019, 23:07
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
A cylinder of height h is 3/4 of water. When all of the water is poured into an empty cylinder whose radius is 25 percent larger than that of the original cylinder, the new cylinder is 3/5 full. The height of the new cylinder is what percent of h?

(A) 25%
(B) 50%
(C) 60%
(D) 80%
(E) 100%

Kudos for a correct solution.
Show more
Let r be radius and h be height of original cylinder.
It is 3/4th full. So volume of water in it. = (3/4)*pi*r^2*h

Radius of new cylinder = 1.25r. Let H be the height of new cylinder.
It is 3/5th full. So volume of water in it = (3/5)*pi*(1.25r)^2*H

Since volume of water is same
So, (3/4)*pi*r^2*h = (3/5)*pi*(1.25r)^2*H
(5/4)*h = (1.25)^2*H
(5/4)* h = (5/4)^2*H
H = 4/5 h = 80% of h.

Answer D.
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 38,963
Own Kudos:
1,117
Posts: 38,963
Kudos: 1,117
A cylinder of height h is 3/4 of water. When all of the water is poure 02 Feb 2024, 08:32
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Automated notice from GMAT Club BumpBot:

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

This post was generated automatically.
Moderators:
Bunuel
Math Expert
109778 posts
Krunaal
Tuck School Moderator
853 posts