2. The cross-sectional area of a gravity-drained cylindrical tank is 0.25m2. The oullet valve resistance, which we will assume to be linear for simplicity, is c=0.1m2/min. The entire system was initially at steady state with the inflow rate of Fi=37I/min (=0.037m3/min.) a. What is the initial steady state level of liquid in the tank? b. If we open the inlet valve to change the inflow rate F1 to 87V/min(=0.087m3/min). What expression would describe the liquid level in the tank t minutes after the valve has been opened? c. When will the liquid level in the tank reach 0.86m ? d. What is the ultimate height of the liquid at the new valve position