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I am new to mathematica so this might so this might be a silly question.

Im in cal 2 and im doing this problem:

Use cylindrical shells method to find volume of revolution of region bounded by x = 1+(y-2)^2 , x=2 about the x-axis

I know how to do this on paper but this course gives 75% credit and 25% for solution mathematica

The problem im having is that when I try to plot x = 1+(y-2)^2 and x=2 im really getting y= 1+(x-2)^2 and y=2 back

ex:

Plot[{1 + (y - 2)^2, 2}, {y, 1, 3}]
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Not an answer, but figures to help you forward:

enter image description here

enter image description here

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