A tank has a spherical form with a diameter equal to $4\mathrm{.}4$ m$.$ The tank is used to store iced water. The emissivity of the tank surface is equal to $0\mathrm{.}6$ and the convection coefficient with the outside air at $30$C is $30$ W$/$m$^2.$K$.$ The heat is transferred to the tank by convection and radiation. The total heat transfer is $22\mathrm{.}48$ kW and the heat transfer by radiation is $1\mathrm{.}274$ kW$.$ Determine the surface temperature of the tank.