B.+King

= __Volumes by Integration __ =

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In this problem, you find the area of the shaded region wrapped around the x-axis using the washer method. This was a self-created problem made strictly for this project. Oh, and I love calculus.

State a variation of this problem that would give me the same volume.
If you raise the graph up 2 units and rotate around y=2. ED really, if you raise both the graph and the rotation line the same amount, the volume of the shape will remain the same. -lovebk.

What would change if the region was rotated around the line y=-5?
the shape would look the same, but is would have a larger radius giving the shape a larger volume. vl

What would change in the region was rotated around the line y=7?
The shape would look the same, but would have a slightly larger volume than the shape rotated around the line y=6. MC