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. A snowball melts in such a way that the rate of change
Chapter 3, Problem 21E(choose chapter or problem)
21. A snowball melts in such a way that the rate of change in its volume is proportional to its surface area. If the snowball was initially 4 in. in diameter and after 30 min its diameter is 3 in., when will its diameter be 2 in.? Mathematically speaking, when will the snowball disappear?
Questions & Answers
QUESTION:
21. A snowball melts in such a way that the rate of change in its volume is proportional to its surface area. If the snowball was initially 4 in. in diameter and after 30 min its diameter is 3 in., when will its diameter be 2 in.? Mathematically speaking, when will the snowball disappear?
ANSWER:SolutionIn this question we have to determine when the diameter of snowball be 2 in and when will the snowball will finally disappear. Step 1Let d be the diameter of snowball Volume = Surface area = = also it is given that Change in volume Surface area -ve sign indicates that snowball is melting.