The pressure in a 0.150-m diameter water main is 400 kPa. The mean velocity of the water in the main is 10 m/s. The main is 1 m below ground level. An industrial washing machine located 3 m above ground level has a peak water demand of 0.020m3/s. The water enters the watching machine at atmospheric pressure (100 kPa). Assuming all friction losses are negligible, estimate the diameter of the pipe leading from the main line to the machine.