The volume rate of flow, Q, through a pipe containing a slowly moving liquid is given by the equation Q = πR4∆p/8µl. Where R is the pipe radius, ∆p the pressure drop along the pipe, µ a fluid property called viscosity (FL^-2T), and l the length of pipe, what are the dimensions of the constant π/8? Would you classify this equation as a general homogeneous equation? Explain.