The velocity profile in fully developed laminar flow in a circular pipe of inner radius $R=7cm,$ in $\frac{m}{s},$ is given by $U(r)=4(1-\frac{r^2}{R^2}).$

Determine the average and maximum velocities in the pipe and the volume flow rate.

The average velocity in the pipe is $\frac{m}{s}.$

The maximum velocity in the pipe is $\frac{m}{s}.$

The volume flow rate is $,\frac{m^3}{s}.$