3) A spherical pellet of radius a that is heated uniformly (per unit volume) by a chemical reaction has an equilibrium temperature distribution T(p) = Q p2 ) 6k (a where Q is the rate at which heat energy is added per unit volume, k is the coefficient of thermal conductivity, and p2 = x2 + y2 + 22. The heat flux is given by q = -kVT (a) (7pts) Compute the total amount of heat flux out of the sphere using a surface integral (b) (3pts) Compare (b) to the rate at which heat energy is being added to the entire sphere. Comment