2. Consider a cylinder of height h and radius a centered on the z-axis with its bottom surface on z = 0. Its curved surface and bottom surface are maintained at temperature T = 0. (a) Write down an expression for the temperature at equilibrium (with no time dependence) that satisfy these boundary conditions. This expression will be an infinite sum with unknown coeffi- cients. [1] (b) If on the top surface at z = h the temperature is To(1 - p4/a*), find an expression for the temperature (again at equilibrium) everywhere inside the cylinder. [4] Hint: The following indefinite integral might be useful: S der Jo(I) = -13(x2 - 8) J3(I). Z T = 1 1-2) T=0