The velocity and temperature profile reported through a pipe with radius $r(m)$ is:

$u(r)=0\mathrm{.}1[1+(\frac{r}{R})-(\frac{r}{R}{)}^2]$ and

$T(r)=200[1\mathrm{.}5+(\frac{r}{R}{)}^2]$

Where $u$ is in $\frac{m}{s}$ and $T$ is in $K.$ Find the average velocity $(15pts)$ and average

temperature $(25pts)$ if $R=1cm.$