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c) Air flows steadily at a rate Q in the shown vertical pipe and then discharges to the atmosphere through the space ( h ) between the two parallel disks of radius R as shown in the figure. The flow may be assumed frictionless and incompressible. i) Show that the pressure variation with r in the space between the two disks can be expressed as pr​=patm ​+C[R21​−r21​] and determine the constant C. [9 Marks] ii) Determine the value of (patm ​−pr​) at point A where r=15 cm using the data given below. [6 Marks] [Data: Q=0.2 m3/s,ρ=1.2 kg/m3,R=30 cm, h=5 mm ]