Radioactive wastes are packed in a long, thin-walled cylindrical container. The wastes generate thermal energy nonuniformly according to the relation q=qω [1−(r/r o) 2 ], where q is the local rate of energy generation per unit volume, q o is a constant, and ro is the radius of the container. Steady-state conditions are maintained by submerging the container in a liquid that is at T[infinity] and provides at T[infinity] and provides uniform convection coefficient h. Obtain an expression for the total rate at which energy is generated in a unit length of the container. Use this result to obtain an expression for the temperature Ts of the container wall.