a cylindrical rod length $1$ m and diameter $0\mathrm{.}02$ m is equipped with annular fins each having a diameter of o$\mathrm{.}1$m and a thickness of $2$mm$.$ the fins are spaced $5$cm apart along the length of the rod. the thermal conductivity of the rod is k$=50$w$/$mc and the thermal $.$ conductivity of the fins is k$=180$w$/$mc$.$ if the rod surface temperature is maintained at $100$ C and the surrounding of temperature is $25$ C $,$ determine $1.$the total surface area available for heat transfer$($including the finned surface area$)2.$ if the heat transfer coefficient h$=20$ w$/$m$^2$ c $,$ determine the total rate of heat loss from the finned rod.