113 the volume rate of flow q through a pipe containing a slowly movin

Question

1.13 The volume rate of flow, Q, through a pipe containing a slowly moving liquid is given by the equation Q=\frac{\pi R^{4} \Delta p}{8 \mu \ell} where R is the pipe radius, Ap the pressure drop along the pipe, µ a fluid property called viscosity (FL?T), and l the length of pipe.What are the dimensions of the constant 7/8? Would you classify this equation as a general homogeneous equation? Explain.