Steam at $120C(T_1)$ is pumped through a stainless$-$steel pipe, $k=16\frac{W}{m}K.$ The inner and outer radiuses are $4\mathrm{.}7$ cm and $5$ cm $,$ respectively. The heat transfer coefficient $(h_1)$ due to steam is $2000\frac{W}{m^2}K.$ The outer surface of the pipe loses heat by convection to air at $20C(T_2)$ and the heat transfer coefficient $(h_2)$ is $200\frac{W}{m^2}K.$ The pipe is surrounded by a layer of insulation