A $3-$m$-$long, $0\mathrm{.}3-$cm$-$diameter electrical wire extends across a room at $22$C$.$ Heat is generated in the wire as a result of resistance heating, and the surface temperature of the wire is measured to be $160$C in steady operation. Also, the voltage drop and electric current through the wire are measured to be $85+$X$1*$X$2($where X$1=8,$ X$2=0)$ and the current is measured to be $1\mathrm{.}5$ A$,$ respectively. Disregarding any heat transfer by radiation, determine the convection heat transfer coefficient for heat transfer between the outer surface of the wire and the air in the room.