# Science:Math Exam Resources/Courses/MATH100/December 2010/Question 03

MATH100 December 2010
Other MATH100 Exams

### Question 03

Two cylindrical swimming pools are being filled simultaneously with water, at exactly the same rate measured in ${\displaystyle m^{3}/min}$. The smaller pool has a radius of ${\displaystyle 5m}$ and the height of the water in the smaller pool is increasing at a rate of ${\displaystyle 0.5m/min}$. The larger pool has a radius of ${\displaystyle 8m}$. How fast is the height of the water increasing in the larger pool? Your answer must be a specific numerical value.

 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 hint below. Consider it for a while. Does it give you a new idea on how to approach the problem? If so, try it!

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