Science:Math Exam Resources/Courses/MATH101/April 2012/Question 06/Hint 1

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What is the shape of the water surface and how does it change during the process?

To describe this, you need the crucial variable that changes with the process of pumping.

You can use either the depth of water or the distance from the top of the bowl to the water level, but the latter will be easier.

Then find a formula for the water surface so that you can find the work done to lift up a small slab of water from the water surface up to the top of the bowl and out of the outlet.