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3 A roast at temperature T is placed in an oven at temperature T.. The roast is cooked by convection and radiation. The heat

3 A roast at temperature T is placed in an oven at temperature T.. The roast is cooked by convection and radiation. The heat transfer h,T coefficient is h. Model the roast as a sphere of radius r. and assume that the radiation flux is constant equal to q". How long will it take for the center temperature to reach a specified level To? Hints: % 2 HBC The time needed for the center temperature to reach To can be expressed in an implicit equation. r

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