Science:Math Exam Resources/Courses/MATH100/December 2014/Question 03 (e)

MATH100 December 2014

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Question 03 (e)

Air is being pumped into a spherical balloon at a rate of ${\displaystyle 100{\rm {cm}}^{3}/s}$. How fast is the radius of the balloon increasing when the diameter is ${\displaystyle 40}$ cm?

 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? If you are stuck, check the hints below. Read the first one and consider it for a while. Does it give you a new idea on how to approach the problem? If so, try it! If after a while you are still stuck, go for the next hint.

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