A $0\mathrm{.}4-$W cylindrical electronic component with diameter $0\mathrm{.}3$ cm and length $1\mathrm{.}8$ cm and mounted on a circuit board is cooled by air flowing across it at a velocity of $237\mathrm{.}00$ m$/$min$.$ If the air temperature is $35$C$,$ determine the surface temperature of the component in $$C$.$ For air properties evaluations assume a film temperature of $50$C$.$ The properties of air at $1$ atm and at this temperature are k $=0\mathrm{.}02735$ W$/$m$$C$,$ $=1\mathrm{.}798105$ m$2/$s$,$ and Pr $=0\mathrm{.}7228.$

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The surface temperature of the component is $$C$.$