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(C) A hollow cylinder of length L has inner radius of R, and outer radius of R2, as shown in the figure. The outer, curved surface at r=R2 is perfectly insulated, and the two end faces at z=0 and at z=L are also perfectly insulated. The cylinder is initially at a temperature given by the 2-D distribution T = F(r, z). At t= 0, convection heat transfer is initiated by flowing a cooling fluid through the center hole with fluid temperature Too and with uniform convection coefficient of h; hence convection heat transfer at the inner surface r=R. (i) Solve for the transient temperature distribution. (ii) Solve for the steady-state temperature distribution. Insulated +r h, T. +z L