Nuclear wastes are contained in a thin$-$walled spherical container of radius $R.$ The nuclear wastes generate heat in radially non$-$uniform manner given by $q(r)=q_0[1-(\frac{r}{R}{)}^2]\frac{W}{m^3}.$ Steady state conditions are maintained by submerging the container in a liquid at temperature

$T_{}$ through convection with a uniform heat transfer coefficient $h.$ Determine the temperature of the container wall.