GMAT Changed on April 16th - Read about the latest changes here

 It is currently 23 Apr 2018, 08:27

### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# A cylindrical bucket, with height 10 and radius r , is 3/4 filled

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

### Hide Tags

Intern
Joined: 05 Jan 2016
Posts: 7
Location: Pakistan
Concentration: Marketing, Human Resources
GPA: 3.05
WE: Marketing (Retail)
A cylindrical bucket, with height 10 and radius r , is 3/4 filled [#permalink]

### Show Tags

31 Jan 2017, 01:37
7
This post was
BOOKMARKED
00:00

Difficulty:

75% (hard)

Question Stats:

60% (02:17) correct 40% (01:52) wrong based on 107 sessions

### HideShow timer Statistics

A cylindrical bucket, with height 10 and radius r , is 3/4 filled with water. A boy is dropping marbles with volume r/10 into the bucket at a rate of 12 per minute.
How many seconds will it take before water overflows from the bucket?

(A) 2.1rπ
(B) 25rπ
(C) 125rπ
(D) 300rπ
(E) 375rπ
[Reveal] Spoiler: OA
Math Expert
Joined: 02 Aug 2009
Posts: 5777
Re: A cylindrical bucket, with height 10 and radius r , is 3/4 filled [#permalink]

### Show Tags

31 Jan 2017, 03:32
1
KUDOS
Expert's post
1
This post was
BOOKMARKED
arslanama wrote:
A cylindrical bucket, with height 10 and radius r , is 3/4 filled with water. A boy is dropping marbles with volume r/10 into the bucket at a rate of 12 per minute.
How many seconds will it take before water overflows from the bucket?

(A) 2.1rπ
(B) 25rπ
(C) 125rπ
(D) 300rπ
(E) 375rπ

Hi

Volume of cylinder=π*r^2*10=10πr^2
Now 1/4 is vacant, so marbles have to fill up 10πr^2/4=5πr^2/2..

Since ans is per second, marbles per sec 1/5, so volume per second=1/5*r/10=r/50...
Number of seconds= $$\frac{5πr^2}{2}*\frac{50}{r}$$=125πr..
C
_________________

Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

GMAT online Tutor

Non-Human User
Joined: 09 Sep 2013
Posts: 6655
Re: A cylindrical bucket, with height 10 and radius r , is 3/4 filled [#permalink]

### Show Tags

07 Apr 2018, 15:16
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.
_________________
Re: A cylindrical bucket, with height 10 and radius r , is 3/4 filled   [#permalink] 07 Apr 2018, 15:16
Display posts from previous: Sort by

# A cylindrical bucket, with height 10 and radius r , is 3/4 filled

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

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