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An object's cooling constant, k, is often taken to be proportional to the its surface area. An iron ball cools from 350oC to 100oC in 30 seconds in a fast flowing stream of 30oC water. Use Newton's Law of Cooling to estimate how cool a similar volume of hot iron would become in 30 seconds if it were in the shape of a rod with surface area 3 times larger than the ball's.
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