(Solved): A truncated solid cone is of circular cross section, and its diameter is related to the axial coord ...

A truncated solid cone is of circular cross section, and its diameter is related to the axial coordirate by an expression of the form $$D=a{x}^{32}$$, wherea $$=1.0{\mathrm{m}}^{1/2}$$ The sides are well insulated, while the top surface of the cone at $$x_1$$ is maintained at $$T_1$$ and the bottom sur face at $$x_2$$ is maintained at $$T_2$$. What is the rate of heat transfer across the cone if it is constructed of pure alumimum with $$x_1=0.075\mathrm{m},T_1=3455^{?}{\mathrm{C}}_2=0.225$$ $$m_{\text{and }}{T}_2=20\%\mathrm{C}$$ Cyaluate the preperties of aluminum at $$\stackrel{?}{T}=339\mathrm{K}$$. $$\mathrm{W}$$