A centrifugal pump is used to raise water against a static head of 18.0 m. The suction and delivery pipes, both 0.15 m diameter, have, respectively, friction head losses amounting to 2.25 and 7.5 times the dynamic head. The impeller, which rotates at 140 rev/min, is 0.25 m diameter with eight vanes, radius ratio 0.45, inclined backwards at Beta'2 = 60 degrees. The axial width of the impeller is designed so as to give constant radial velocity at all radii and is 20 mm at impeller exit. Assuming hydraulic efficiency of 0.82 and an overall efficiency of 0.72, determine (i) the volume flow rate (ii) the slip factor using Busemann's method (iii) the impeller vane inlet angle required for zero incidence angle (iv) the power required to drive the pump.