Homework Help: calculus

Posted by kchik on Friday, November 9, 2012 at 12:39am.

Water is being filled into a water tank at 22 liters/second. The base of the tank has dimensions w = 1 meter and L = 2 meter . What is the rate of change of the height of water in the tank? (express your answer in cm/sec).

calculus - Reiny, Friday, November 9, 2012 at 9:25am
I am assuming that your tank is rectangular.

Let the water level be h metres high.

V = (100)(200)(h) = 20000h cm^3 , and 1 L = 1000 cm^3
dV/dt = 20000 dh/dt

22000 = 20000 dh/dt
dh/dt = 22000/20000 cm/sec
= 1.1 cm/sec

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