NEW HERE? LEARN MORE
closeclose
Last visit was: 03 May 2024, 22:10 It is currently 03 May 2024, 22:10
Decision Tracker
My Rewards
New posts
New comers' posts

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

A cylindrical water tank has a diameter of 14 meters and a height of

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 93025
Own Kudos [?]: 621027 [8]
Given Kudos: 81742
Send PM
CAT Tests Forum Quiz Mode
A cylindrical water tank has a diameter of 14 meters and a height of [#permalink] New post   02 Jul 2015, 01:35
8
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

15% (low)

Question Stats:

77% (01:17) correct 23% (01:23) wrong based on 410 sessions
Hide Show timer Statistics
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
L
GMATinsight
GMAT Club Legend
GMAT Club Legend
Joined: 08 Jul 2010
Status:GMAT/GRE Tutor l Admission Consultant l On-Demand Course creator
Posts: 5969
Own Kudos [?]: 13440 [1]
Given Kudos: 124
Location: India
GMAT: QUANT+DI EXPERT
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
WE:Education (Education)
Send PM
Reviews Badge
Re: A cylindrical water tank has a diameter of 14 meters and a height of [#permalink] New post   02 Jul 2015, 03:29
1
Kudos
Expert Reply
Bunuel wrote:
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.


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
B
peachfuzz
Senior Manager
Senior Manager
Joined: 28 Feb 2014
Posts: 269
Own Kudos [?]: 318 [1]
Given Kudos: 132
Location: United States
Concentration: Strategy, General Management
Send PM
Reviews Badge
Re: A cylindrical water tank has a diameter of 14 meters and a height of [#permalink] New post   02 Jul 2015, 10:29
1
Kudos
Volume of cylinder=pi×49×20
=980pi
1/2 full so 490pi

490pi× 1min/pi
=490 mins

Answer:
D. 490 minutes
User avatar
mejia401
Senior Manager
Senior Manager
Joined: 15 Sep 2011
Posts: 258
Own Kudos [?]: 1371 [0]
Given Kudos: 46
Location: United States
WE:Corporate Finance (Manufacturing)
Send PM
GMAT ToolKit User
A cylindrical water tank has a diameter of 14 meters and a height of [#permalink] New post   02 Jul 2015, 06:53
R * T = W
diameter = 14
height = 20

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

Thanks,
User avatar
B
TimeTraveller
Senior Manager
Senior Manager
Joined: 28 Jun 2015
Posts: 250
Own Kudos [?]: 294 [0]
Given Kudos: 47
Concentration: Finance
GPA: 3.5
Send PM
Re: A cylindrical water tank has a diameter of 14 meters and a height of [#permalink] New post   02 Jul 2015, 09:40
cylinder, r=7, h = 20.
volume = (pi) (7^2) (20) = 980(pi)
half-full = 490(pi).
Time taken = 490*1 = 490 mins.
User avatar
adityadon
Manager
Manager
Joined: 18 Mar 2014
Posts: 205
Own Kudos [?]: 139 [0]
Given Kudos: 175
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)
Send PM
GMAT ToolKit User
Re: A cylindrical water tank has a diameter of 14 meters and a height of [#permalink] New post   03 Jul 2015, 09:03
volume = pi *r^2*h = 980 pi

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

Answer D
User avatar
B
kanigmat011
Manager
Manager
Joined: 27 Jul 2014
Posts: 202
Own Kudos [?]: 361 [0]
Given Kudos: 15
Schools: ISB '15
GMAT 1: 660 Q49 V30
GPA: 3.76
Send PM
GMAT ToolKit User Reviews Badge
Re: A cylindrical water tank has a diameter of 14 meters and a height of [#permalink] New post   04 Jul 2015, 12:35
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
G
ENGRTOMBA2018
SVP
SVP
Joined: 20 Mar 2014
Posts: 2362
Own Kudos [?]: 3626 [0]
Given Kudos: 816
Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
GPA: 3.7
WE:Engineering (Aerospace and Defense)
Send PM
GMAT ToolKit User Reviews Badge
Re: A cylindrical water tank has a diameter of 14 meters and a height of [#permalink] New post   04 Jul 2015, 13:19
Bunuel wrote:
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.


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
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 93025
Own Kudos [?]: 621027 [0]
Given Kudos: 81742
Send PM
CAT Tests Forum Quiz Mode
A cylindrical water tank has a diameter of 14 meters and a height of [#permalink] New post   06 Jul 2015, 07:14
Expert Reply
Bunuel wrote:
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.


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
B
LogicGuru1
Senior Manager
Senior Manager
Joined: 04 Jun 2016
Posts: 484
Own Kudos [?]: 2339 [0]
Given Kudos: 36
GMAT 1: 750 Q49 V43
Send PM
A cylindrical water tank has a diameter of 14 meters and a height of [#permalink] New post   17 Jul 2016, 04:11
Bunuel wrote:
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.


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
Non-Human User
Joined: 09 Sep 2013
Posts: 32804
Own Kudos [?]: 825 [0]
Given Kudos: 0
Send PM
Re: A cylindrical water tank has a diameter of 14 meters and a height of [#permalink] New post   25 Apr 2022, 07:48
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
GMAT Club Bot
gmatclubot
Re: A cylindrical water tank has a diameter of 14 meters and a height of [#permalink]
25 Apr 2022, 07:48
Moderators:
Bunuel
Math Expert
93025 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions