answer for question 3 and 4 all parts pleaseeee

[3]- The power P required to drive a centrifugal pump depends on liquid volumetric flow rate Q, liquid density , angular speed of impeller w and diameter of impeller D. P=f(Q,,w,D) Use dimensional analysis to derive the dimensionless groups [4]- A stainless steel sphere has a diameter 1mm and a density of 7870kg/m3. Calculate the terminal velocity of the sphere for the following two cases (Use equations for Settling of Particles): a) The sphere is dropped in polymer of density 1052kg/m3 and viscosity 0.1 kg/m s. b) The sphere is dropped in kerosene of density 765.52kg/m3 and viscosity 0.00818kg/ms