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Heat is generated uniformly at a rate of 4.2x10^6 W/m^3 in a spherical ball (k=45 W/mK) of diameter 24 cm. The ball is exposed to iced-water at 0 C with a heat transfer coefficient of 1200 W/m^2K. Determine the temperatures at the center and the surface of the ball.

Heat is generated uniformly at a rate of 4.2x10^6 W/m^3 in a spherical ball (k=45 W/mK) of diameter 24 cm. The ball is exposed to iced-water at 0 C with a heat transfer coefficient of 1200 W/m^2K. Determine the temperatures at the center and the surface of the ball.