QUESTION 3 Water at 15 °C (p = 1000 kg/m3) is to be discharged from a reservoir at a rate of 18 l/s using two horizontal cast iron pipes connected in series and a pump between them as shown in Figure Q3. The first pipe is 20 m long and has a 6 cm diameter, while the second pipe is 35 m long and has a 4 cm diameter. The water level in the reservoir is 30 m above the centerline of the pipe. The pipe entrance is sharp-edged, and losses associated with the connection of the pump are negligible. Neglecting the effect of the kinetic energy correction factor: Water tank 30 m 20 m Pump 35 m 4 cm 6 cm Figure Q3: Water tank (a) Determine total head loss in the system [17 marks] (b) Determine minimum pumping power to maintain the indicated flow rate [8 marks)