Science:Math Exam Resources/Courses/MATH110/December 2016/Question 02 (c)
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Question 02 (c) 

The volume of a spherical balloon changes with its radius . What is the rate of change of the balloon’s volume with respect to its radius when the radius is ? 
Make sure you understand the problem fully: What is the question asking you to do? Are there specific conditions or constraints that you should take note of? How will you know if your answer is correct from your work only? Can you rephrase the question in your own words in a way that makes sense to you? 
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Hint 

According to the question, we need to find . 
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Solution 

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Please rate my easiness! It's quick and helps everyone guide their studies. By the Hint, we need to find and put . Since we have When , So the rate of change is .
Answer: the rate of change is 