Cylindrical tank rate of change Water is pouring into a cylinder with a radius of 5m and height of 20m at a rate of 3 cubic metres a minute. Find the rate of change of height when the tank is half full. Now the Volume V = pir^2h and I can determine the rate of change in Volume is dV/dt=pir^2dh/dt and the rate of change of height is dh/dt=1/pir^2 yimes dV/dt Using that formula I can determine that the water is rising at a rate of 3/25pi m/min. But I cannot seem to figure out how to factor in height so that it is half full. Or is this wrong?

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