A liquid storage tank shown in below figure has 2 inlet streams with mass flow rates wl and w2 and an exit stream with flow rate w3. The cylindrical tank has a diameter of 2m. The liquid has a density of 800kg/m3. Normal operating procedure is to fill the tank using constant flowrates of wI =120kg/min,w2=100kg/min and w3=200kg/min. Develop a model for this process and mention the controlled variable. If the tank is initially empty, how long did it take for the liquid level to reach a height of 1m ? Draw a FB an FF controller for this process and mention the manipulated variable and measured variable