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What is the function of the 3 dimensional plane created when the graph of 1/abs(x) is rotated in the z-axis around the origin?

I'm sorry for bad formatting and if this is a duplicate.

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    "The graph of 1/abs(x)" What does that mean? Do you mean the SURFACE $z = 1/|x|$ or the plane curve $y = 1/|x|$? And rotating about the z-axis and the origin are very different things2012-07-19
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    If you have trouble formatting, you could see http://meta.math.stackexchange.com/questions/1773/do-we-have-an-equation-editing-howto2012-07-19

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