A $2$ in$.$ diameter sphere, whose surface is maintained at a temperature of $170\backslash$deg F$,$ is suspended in the middle of a room that is at $70\backslash$deg F$.$ If the convection heat transfer coefficient is $15$ Btu$/$h ft$^2\backslash$deg F and the emissivity of the surface is $0\mathrm{.}8,$ determine the total rate of heat transfer from the sphere.