solve this please especially part 2 The answer for equillibrium Radius is 0.016m The answer Ur is 0.0186 and VR0 is 11.94 both in m/s

Q43. Hydrocyclone design i The feed and overflow rates of a hydrocyclone shown below are 36 and 23 L/min, the liquid viscosity is 0.0015 Pa s, the solid and liquid densities are 2000 and 1000 kg/m', respectively. Units in the figure below are in mm. (1) If Ro is radius of the hydrocyclone, what is the fractional volume inside the locus of zero velocity (LZVV)? By assuming that the fractional volume insideLZVV is equal to the proportion of the feed flow going into the overflow, what is the equilibrium radius (m)? (2) By considering the LZVV as a surface over which the flow entering the overflow is uniformly distributed, what is the liquid velocity over the LZVV (m/s)? What is the inlet velocity, hence the tangential velocity at Ro (m/s)? (3) Using the conservation of angular momentum and assuming that all the inlet flow occurs at Ro, what is the tangential velocity at the equilibrium orbit radius (m/s)