The axial velocity profile for laminar flow in a pipe is given by u(r) = Umax * (1-r*r/(R*R)) where r is radial position, R is the pipe radius, and Umax is the maximum velocity. For R=1 m, and Umax=1 m/s, compute the volumetric flow rate. What value do you get if you assume the velocity is uniform at the average velocity?