Posted by Salman on .
Water is leaking out of an inverted conical tank at a rate of cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate. The tank has height meters and the diameter at the top is meters. If the water level is rising at a rate of centimeters per minute when the height of the water is meters, find the rate at which water is being pumped into the tank in cubic centimeters per minute.
you are given dh/dt.
Relate volume to height in the conic tank.
Then take the derivative with respect to time, so you have dV/dt=f(h,t)
YOu also have a leak, so subtract that.
dV/dt- leak rate=f(h,t)
so solve for dV/dt