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An electrically heated industrial furnace cavity is modeled in the form of a cylinder having diameter 10 cm and length 20 cm. It is opened at one end of surroundings that are at a temperature of 300 K. The electrically heated sides and the bottom of the cavity which are well insulated and may he approximated as black bodies are maintained at a temperature of 1800 K and 2000 K, respectively. By showing the sketch of the furnace, find the power required to maintain the surface at this condition. Take shape factor from the bottom surface to surroundings as 0.06.

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