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

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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]

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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

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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]

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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

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

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