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this container is all empty

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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by theCodeToGMAT » Sun Nov 17, 2013 1:28 am
Volume pumped out of pipe in 1 sec = (4 π) 30 ==> 120 π

To find: Time of Half filled

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

120 π == 1 sec

1 == 1/120 π sec

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

Answer [spoiler]{D}[/spoiler] ???
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by sanju09 » Sun Nov 17, 2013 1:33 am
theCodeToGMAT wrote:Volume pumped out of pipe in 1 sec = (4 π) 30 ==> 120 π

To find: Time of Half filled

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

120 π == 1 sec

1 == 1/120 π sec

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

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


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by theCodeToGMAT » Sun Nov 17, 2013 1:37 am
;) .. just the curiosity to know whether my solution is correct..
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