(Solved): show procedure pls A long 35cm-diameter cylindrical shaft made of stainless steel 304(k=14.9W/m ...

A long $$35?\mathrm{cm}$$-diameter cylindrical shaft made of stainless steel $$304(\mathrm{k}=14.9\mathrm{W}/\mathrm{m}?\mathrm{K},?=7900\mathrm{kg}/{\mathrm{m}}^3,{\mathrm{c}}_p=477\mathrm{J}/\mathrm{kg}?\mathrm{K}$$, and $$\mathrm{a}=3.95\times 10^{?6}{\mathrm{m}}^2/\mathrm{s}$$ ) comes out of an oven at a uniform temperature of $$365^{?}\mathrm{C}$$. The shaft is then allowed to cool slowiy in a chamber at $$165^{?}\mathrm{C}$$ with an average convection heat transfer coefficient of $$\mathrm{h}=60\mathrm{W}/{\mathrm{m}}^2?\mathrm{K}$$. Solve this problem using analytical one-term approximation method. Determine the heat transfer per unit length of the shaft during this time period which is 20 mins. The heat transfer per unit length of the shaft is kJ.