Science:Math Exam Resources/Courses/MATH100/December 2015/Question 08 (a)/Solution 1

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Since we want to know the rate of the change of the height of the water, we need a variable for the height.

On the other hand, to use the given information on the rate of the change of the volume of the water, we introduce a variable for the radius of the circle at the top of the water.

These two variables can be described on the picture of the vertical section as follows:

picture

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