Please show work using Navier-stokes. The correct answer is 7.41 m/s

You want to make rigatoni pasta by feeding dough through an annular opening, using a solid cylinder in the middle of a tube as shown in the diagram. The outer diameter of the pasta needs to be 15.7mm(d_h ), and the pasta is only 1.69mm thick. Given a liquid dough flowrate (Q) of 4.8 cm3/s, what is the velocity a quarter of the way from the inner radius of the opening to the outer radius (25\% through the thickness of the pasta, where you're closer to the inside than the outside) in m/s ? Assume that dough, which is much thicker than water, has a viscosity of 0.16g/(cms) and a density of 1.26g/cm3