How much power is necessary to sum up the blackened met

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What power must be supplied to a blackened metal ball with a radius R = 2 cm in order to maintain its temperature at T = 27 ° C above the ambient temperature, which is considered equal to 20 ° C. Assume that heat is lost only due to radiation.

Problem 50102. A detailed solution with a brief note of the conditions, formulas and laws used in the solution, the derivation of the calculation formula and the answer.
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