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water at a rate of 22

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water at a rate of 22

by sanju09 » Fri Mar 04, 2011 1:02 am
When a cylindrical tank is filled with water at a rate of 22 cubic meters per hour, the level of water in the tank rises at a rate of 0.7 meters per hour. Which of the following best approximates the radius of the tank in meters?
(A) ½ √10
(B) √10
(C) 4
(D) 5
(E) 10
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by BarryLi » Fri Mar 04, 2011 1:07 am
Water: 22 m^3 / hour
Tank: 0.7 m^3 / hour

Water:Tank = 22:0.7 = 22/0.7:1 ~10*pi:1

Volume of cylinder: pi * radius^2 * height

10*pi = pi * radius^2 * 1
10 = radius^2
radius = sqrt(10)

[spoiler]OA: B[/spoiler]
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by manpsingh87 » Fri Mar 04, 2011 3:15 am
sanju09 wrote:When a cylindrical tank is filled with water at a rate of 22 cubic meters per hour, the level of water in the tank rises at a rate of 0.7 meters per hour. Which of the following best approximates the radius of the tank in meters?
(A) ½ √10
(B) √10
(C) 4
(D) 5
(E) 10

after one hour volume of water tank will be 22.
therefore we have; 22 = 22/7 * r^2 * (0.7);

r^2=10
r=√10
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