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January 28, 2015

January 28, 2015

Posted by **lou** on Monday, July 18, 2011 at 2:56pm.

a) Find the volume V of the water as a function of the water level h.

b) Find h as a function of the time t during which water has been flowing into the tank.

height of cylinder: 80m

height of water: ?

diameter of cylinder: 40m

- math -
**Damon**, Monday, July 18, 2011 at 5:09pmV = pi r^2 h

dV/dt = pi r^2 dh/dt = 10 m^3/s

so

dh/dt = 10/(pi r^2)

h = 0 + [ 10/(pi r^2) ] t

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