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

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

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

Where u is in m$/$s and T is in K$.$ Find the average velocity $(15$ pts$)$ and average

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