Solve the below problem in detail:
Q: A truncated solid cone is of circular cross section, and its diameter is related to the axial coordinate by an expression of the form D = ax 3/2, where a = 1.0 m-1/2.
The sides are well insulated, while the top surface of the cone at x1 is maintained at T1 and the bottom surface at x2 is maintained at T2.
(a) Obtain an expression for the temperature distribution T(x).
(b) What is the rate of heat transfer across the cone if it is constructed of pure aluminum with x1 = 0.075m, T1 = 100°C, x2 = 0.225 m, and T2 = 20°C?
