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Consider a spherical shell satellite with outer diameter of 4 m and shell thickness of 10 mm is reentering the atmosphere. The shell satellite is made of stainless steel with properties of =8238 kg/m^3 , c_p=468 J/kgK , and k=13.4 W/mK. During the reentry, the effective atmosphere temperature surrounding the satellite is 1250 C with convection heat transfer coefficient of 130W/m^2 K. If the initial temperature of the shell is 10 C, determine the shell temperature after 5 minutes of reentry. Assume heat transfer occurs only on the satellite shell.