GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 19 Jan 2019, 23:00

### 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 January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
• ### FREE Quant Workshop by e-GMAT!

January 20, 2019

January 20, 2019

07:00 AM PST

07:00 AM PST

Get personalized insights on how to achieve your Target Quant Score.
• ### Free GMAT Strategy Webinar

January 19, 2019

January 19, 2019

07:00 AM PST

09:00 AM PST

Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.

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

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, 00:37
10
00:00

Difficulty:

75% (hard)

Question Stats:

60% (02:10) correct 40% (01:49) wrong based on 129 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
Math Expert
Joined: 02 Aug 2009
Posts: 7207
Re: A cylindrical bucket, with height 10 and radius r , is 3/4 filled  [#permalink]

### Show Tags

31 Jan 2017, 02:32
1
2
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
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

GMAT online Tutor

Re: A cylindrical bucket, with height 10 and radius r , is 3/4 filled &nbs [#permalink] 31 Jan 2017, 02:32
Display posts from previous: Sort by