this container is all empty

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sanju09: GMAT Instructor; Posts: 3650; Joined: Wed Jan 21, 2009 4:27 amFollowed by: 80 members; Location: India; Thanked: 267 times; GMAT Score:760

by sanju09 » Sun Nov 17, 2013 12:45 am

Container X is a cylinder of 12 inches base radius. When this container is all empty, water is pumped into it through a pipe of 4Ï€ square inches cross section at the rate of 30 inches per second. If the height of Container X is 80 inches, then in how many seconds will it be half filled?
A. 96
B. 80
C. 64
D. 48
E. 32

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The mind is everything. What you think you become. –Lord Buddha

Sanjeev K Saxena
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Source: Beat The GMAT — Problem Solving | Sun Nov 17, 2013 12:45 am

theCodeToGMAT: Legendary Member; Posts: 1555; Joined: Tue Aug 14, 2012 11:18 pmFollowed by: 34 members; Thanked: 448 times; GMAT Score:650

by theCodeToGMAT » Sun Nov 17, 2013 1:28 am

Volume pumped out of pipe in 1 sec = (4 Ï€) 30 ==> 120 Ï€

To find: Time of Half filled

Volume of Half Cylinder = Ï€ * (12)^2 * 80 / 2 = Ï€ * (12)^2 * 40

120 Ï€ == 1 sec

1 == 1/120 Ï€ sec

Ï€ * (12)^2 * 40 = Ï€ * (12)^2 * 40 / 120 Ï€ ==> 144 * 40 / 120 ==> 48

Answer [spoiler]{D}[/spoiler] ???

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sanju09: GMAT Instructor; Posts: 3650; Joined: Wed Jan 21, 2009 4:27 amFollowed by: 80 members; Location: India; Thanked: 267 times; GMAT Score:760

by sanju09 » Sun Nov 17, 2013 1:33 am

theCodeToGMAT wrote:Volume pumped out of pipe in 1 sec = (4 Ï€) 30 ==> 120 Ï€

To find: Time of Half filled

Volume of Half Cylinder = Ï€ * (12)^2 * 80 / 2 = Ï€ * (12)^2 * 40

120 Ï€ == 1 sec

1 == 1/120 Ï€ sec

Ï€ * (12)^2 * 40 = Ï€ * (12)^2 * 40 / 120 Ï€ ==> 144 * 40 / 120 ==> 48

Answer [spoiler]{D}[/spoiler] ???

What are those question marks doing there? [spoiler]You are doubtlessly correct.[/spoiler]

The mind is everything. What you think you become. –Lord Buddha

Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com

theCodeToGMAT: Legendary Member; Posts: 1555; Joined: Tue Aug 14, 2012 11:18 pmFollowed by: 34 members; Thanked: 448 times; GMAT Score:650

by theCodeToGMAT » Sun Nov 17, 2013 1:37 am

.. just the curiosity to know whether my solution is correct..

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