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
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.
1 answer
1 answer