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A spherical metal ball of radius r_{o} is heated in an oven to a temperature of T_{i} throughout and is then taken out of the oven and dropped into a large body of water at T_{∞} where it is cooled by convection with an average convection heat transfer coefficient of h. Assuming constant thermal conductivity and transient one-dimensional heat transfer, express the mathematical formulation (the differential equation and the boundary and initial conditions) of this heat conduction problem. Do not solve.
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