Heat Conduction in a Sphere: A solid sphere of radius R $=0\mathrm{.}1$m has thermal conductivity k $=35$W $/$ m $*$ K and an internal heat generation rate of q $=2*10^5*$ W $/($m $^3)$ The outer surface sphere is exposed to convection with a heat coefficient h $=10$W $/($m $^2)$ K and a surrounding fluid temperature of T infty $=25^$ C$.$ Determine the stendy$-$state temperature distribution in the sphere and the temperature at the center.