Last visit was: 24 Apr 2026, 00:19 It is currently 24 Apr 2026, 00:19
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
505-555 (Easy)|   Geometry|      
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 23 Apr 2026
Posts: 109,802
Own Kudos:
810,906
 [8]
Given Kudos: 105,868
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: 109,802
Kudos: 810,906
 [8]
A cylindrical water tank has a diameter of 14 meters and a height of 02 Jul 2015, 01:35
Kudos
Add Kudos
8
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:

15% (low)

Question Stats:

77% (01:17) correct 23% (01:23) wrong based on 413 sessions

History

Date
Time
Result
Not Attempted Yet
A cylindrical water tank has a diameter of 14 meters and a height of 20 meters. A water truck can fill \(\pi\) cubic meters of the tank every minute. How long will it take the water truck to fill the water tank from empty to half-full?

A. 140 minutes
B. 245 minutes
C. 280 minutes
D. 490 minutes
E. 980 minutes

Kudos for a correct solution.
ShowHide Answer
Official Answer
D
User avatar
GMATinsight
User avatar
Major Poster
Joined: 08 Jul 2010
Last visit: 24 Apr 2026
Posts: 6,976
Own Kudos:
16,909
 [1]
Given Kudos: 128
Status:GMAT/GRE Tutor l Admission Consultant l On-Demand Course creator
Location: India
GMAT: QUANT+DI EXPERT
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
WE:Education (Education)
Products:
My Reviews
Expert
Expert reply
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
Posts: 6,976
Kudos: 16,909
 [1]
A cylindrical water tank has a diameter of 14 meters and a height of 02 Jul 2015, 03:29
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
A cylindrical water tank has a diameter of 14 meters and a height of 20 meters. A water truck can fill \(\pi\) cubic meters of the tank every minute. How long will it take the water truck to fill the water tank from empty to half-full?

A. 140 minutes
B. 245 minutes
C. 280 minutes
D. 490 minutes
E. 980 minutes

Kudos for a correct solution.
Show more

Diameter = 14
Height = 20

Volume = π*r^2*h = π (14/2)^2 * 20 = 980π

Total Time = Capacity to be filled / rate = (980π/2) / π = 490 Minutes

Answer: Option D
User avatar
mejia401
User avatar
Joined: 15 Sep 2011
Last visit: 26 Nov 2018
Posts: 251
Own Kudos:
1,438
Given Kudos: 46
Location: United States
WE:Corporate Finance (Manufacturing)
Posts: 251
Kudos: 1,438
A cylindrical water tank has a diameter of 14 meters and a height of 02 Jul 2015, 06:53
Kudos
Add Kudos
Bookmarks
Bookmark this Post
R * T = W
diameter = 14
height = 20

\(\pi * t = \frac{1}{2}*\frac{14}{2}*20*\pi\)
Thus, D. 490 minutes

Thanks,
User avatar
TimeTraveller
User avatar
Joined: 28 Jun 2015
Last visit: 29 Jul 2017
Posts: 237
Own Kudos:
361
Given Kudos: 47
Concentration: Finance
GPA: 3.5
Posts: 237
Kudos: 361
A cylindrical water tank has a diameter of 14 meters and a height of 02 Jul 2015, 09:40
Kudos
Add Kudos
Bookmarks
Bookmark this Post
cylinder, r=7, h = 20.
volume = (pi) (7^2) (20) = 980(pi)
half-full = 490(pi).
Time taken = 490*1 = 490 mins.
User avatar
peachfuzz
User avatar
Joined: 28 Feb 2014
Last visit: 27 Jan 2018
Posts: 268
Own Kudos:
369
 [1]
Given Kudos: 132
Location: United States
Concentration: Strategy, General Management
Products:
My Reviews
Posts: 268
Kudos: 369
 [1]
A cylindrical water tank has a diameter of 14 meters and a height of 02 Jul 2015, 10:29
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Volume of cylinder=pi×49×20
=980pi
1/2 full so 490pi

490pi× 1min/pi
=490 mins

Answer:
D. 490 minutes
User avatar
adityadon
User avatar
Joined: 18 Mar 2014
Last visit: 28 Nov 2025
Posts: 204
Own Kudos:
152
Given Kudos: 177
Location: India
Concentration: Operations, Strategy
Schools: INSEAD Jan '17 NTU '17 NUS '17 (D) Rutgers '18 SMU '16 (A) Weatherhead '18 (S) Broad '17 (M)
GMAT 1: 670 Q48 V35
GPA: 3.19
WE:Information Technology (Computer Software)
Schools: INSEAD Jan '17 NTU '17 NUS '17 (D) Rutgers '18 SMU '16 (A) Weatherhead '18 (S) Broad '17 (M)
GMAT 1: 670 Q48 V35
Posts: 204
Kudos: 152
A cylindrical water tank has a diameter of 14 meters and a height of 03 Jul 2015, 09:03
Kudos
Add Kudos
Bookmarks
Bookmark this Post
volume = pi *r^2*h = 980 pi

Required time = half volume / pi = 490 pi /pi = 490

Answer D
User avatar
kanigmat011
User avatar
Joined: 27 Jul 2014
Last visit: 26 Dec 2019
Posts: 194
Own Kudos:
393
Given Kudos: 15
Schools: ISB '15
GMAT 1: 660 Q49 V30
GPA: 3.76
Products:
My Reviews
Schools: ISB '15
GMAT 1: 660 Q49 V30
Posts: 194
Kudos: 393
A cylindrical water tank has a diameter of 14 meters and a height of 04 Jul 2015, 12:35
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Option D is correct
Diameter = 14
Height = 20

Volume = π*r^2*h = π (14/2)^2 * 20 = 980π

Total Time = (Volume/2)/ rate = (980π/2) / π = 490 Minutes
User avatar
ENGRTOMBA2018
User avatar
Joined: 20 Mar 2014
Last visit: 01 Dec 2021
Posts: 2,319
Own Kudos:
3,890
Given Kudos: 816
Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
GPA: 3.7
WE:Engineering (Aerospace and Defense)
Products:
My Reviews
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
Posts: 2,319
Kudos: 3,890
A cylindrical water tank has a diameter of 14 meters and a height of 04 Jul 2015, 13:19
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
A cylindrical water tank has a diameter of 14 meters and a height of 20 meters. A water truck can fill \(\pi\) cubic meters of the tank every minute. How long will it take the water truck to fill the water tank from empty to half-full?

A. 140 minutes
B. 245 minutes
C. 280 minutes
D. 490 minutes
E. 980 minutes

Kudos for a correct solution.
Show more

Radius of the base of the right circular cylinder = r= 14/2=7 m
Height =h=20m

Volume = V = \(\pi*r^2*h\) = \(\pi*49*20\)

Thus total time for filling half the quantity of cylinder = \(\frac{V}{2}*\frac{1}{\pi}\)= 490 minutes. Thus D is the correct answer.
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 23 Apr 2026
Posts: 109,802
Own Kudos:
810,906
Given Kudos: 105,868
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: 109,802
Kudos: 810,906
A cylindrical water tank has a diameter of 14 meters and a height of 06 Jul 2015, 07:14
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
A cylindrical water tank has a diameter of 14 meters and a height of 20 meters. A water truck can fill \(\pi\) cubic meters of the tank every minute. How long will it take the water truck to fill the water tank from empty to half-full?

A. 140 minutes
B. 245 minutes
C. 280 minutes
D. 490 minutes
E. 980 minutes

Kudos for a correct solution.
Show more

MANHATTAN GMAT OFFICIAL SOLUTION:

First find the volume of the cylindrical tank:

\(V = \pi r^2 * h = \pi (7)^2 * 20 = 980\pi\)

If the water truck can fill \(\pi\) cubic meters of the tank every minute, it will take 980 minutes to fill the tank completely; therefore, it will take 980/2 = 490 minutes to fill the tank halfway. This is equal to 8 hours and 10 minutes.

Answer: D.
User avatar
LogicGuru1
User avatar
Joined: 04 Jun 2016
Last visit: 28 May 2024
Posts: 463
Own Kudos:
2,644
Given Kudos: 36
GMAT 1: 750 Q49 V43
GMAT 1: 750 Q49 V43
Posts: 463
Kudos: 2,644
A cylindrical water tank has a diameter of 14 meters and a height of 17 Jul 2016, 04:11
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
A cylindrical water tank has a diameter of 14 meters and a height of 20 meters. A water truck can fill \(\pi\) cubic meters of the tank every minute. How long will it take the water truck to fill the water tank from empty to half-full?

A. 140 minutes
B. 245 minutes
C. 280 minutes
D. 490 minutes
E. 980 minutes

Kudos for a correct solution.
Show more

Volume of the tank = \(\pi* r^2*h=\pi *7^2*20=980\pi\)

We need to fill the HALF TANK =\(\frac{980\pi}{2}\)=\(490\pi\)
Rate*Time=Work
\(\pi\) * TIME=490\(\pi\)
TIME = \(\frac{490\pi}{\pi}\)=490 minutes
Answer is 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 cylindrical water tank has a diameter of 14 meters and a height of 25 Apr 2022, 07:48
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
109802 posts
Krunaal
Tuck School Moderator
853 posts