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