Water is leaking out of an inverted conical tank at a rate of 0.0078 ${\rm m}^3{\rm /min}$. At the same time water is being pumped into the tank at a constant rate. The tank has height 11 meters and the diameter at the top is 3.5 meters. If the water level is rising at a rate of 0.3 m/min when the height of the water is 4.5 meters, find the rate at which water is being pumped into the tank.

Water is being pumped in at ${\rm m}^3{\rm /min}$.