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18 Jun 2006, 17:52
Kudos
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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?
10^1/2 / 2
10^1/2
4
5
10
The correct answer is (B)
Please explain.
SQ
10^1/2 / 2
10^1/2
4
5
10
The correct answer is (B)
Please explain.
SQ
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18 Jun 2006, 18:33
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Let radius be r
Volume = pi * r^2 * h
We're told water goes in at 22 cubic meters per hour, and the height rises at rate of 0.7 meters per hour
So pi * r^2 *h = 22
22/7 * 7/10 * r^2 = 22
h = 22 * 5/11
r^2 = 10
r = 10^1/2
Volume = pi * r^2 * h
We're told water goes in at 22 cubic meters per hour, and the height rises at rate of 0.7 meters per hour
So pi * r^2 *h = 22
22/7 * 7/10 * r^2 = 22
h = 22 * 5/11
r^2 = 10
r = 10^1/2
