1. A metal sphere of radius ro is kept in an oven for a long time until the temperature is a uniform T. It is removed and exposed to ambient air at T and a convection coefficient of h. Radiation is also significant, where the emissivity of the outer surface is & and the temperature of the surrounding surfaces is Tsur. The temperature distribution within the sphere as a function of location and time is desired. Make reasonable assumptions to simplify the governing differential equation. Express the governing differential equation and the boundary and initial conditions for this heat conduction problem, but do not attempt to solve. Metal ball 0 T surr Radiation. Convection To T h r