Consider a hollow spherical shaped reactor of inner and oule radii of $R_i$ and $R_o,$ respectively, in which an exothermic chemical reaction causes a uniform volumetric heat generation $Q_0\frac{W}{m^3}$ in the hollow portion $)r(R_i.$ The reactor is surrounded by a large pool of fluid at $T_{}$ with a finite convective heat transfer coefficient $h.$ Show that steady$-$state temperature distribution $T(r)$ within the reactor is given by

$T(r)=T_{}+\frac{Q_0{R}_i^3}{3k}[\frac{1}{r}+\frac{1}{R_o}\{\frac{1}{B{i}_o}-1\}]$;$,R_{i}r{R}_o$