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Mathematics 18 Online
OpenStudy (anonymous):

volume of revolution. I have to rotate around a line that goes through my area of revolution. I have only ever rotated around the x and y axis as well as lines that did not go through the area and i dont know what to do. Any advice?

OpenStudy (anonymous):

@Hero @Mehek14 you know any cal 2 or who i could @ ?

OpenStudy (anonymous):

@iambatman @SithsAndGiggles any cal 2 pointers or help

OpenStudy (anonymous):

What's the actual problem?

OpenStudy (anonymous):

@SithsAndGiggles so i asked my teacher and she told us she didnt realize she made the problem do that and to ignore it.

OpenStudy (anonymous):

That's not to say it's an impossible question, it's just ambiguous. For example, if you had a circular region, say \(x^2+y^2=1\), and you wanted to revolve it around its vertical axis of symmetry (the line \(x=0\)), you can still do so, but the usual approach with disk or shell integration would give you twice the desired spherical volume. It gets more ambiguous when you don't have a symmetric region, like a general polygon.

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