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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.

  • Math -

    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

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