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Creating a 3D image by rotating a region about a horizontal line?

I'd like to find some good ways to create the 3D region by taking the region bounded by $y=x^4$ and $y=1$ and rotating it about the line $y=2$.
POSTED BY: David Arnold
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I'm pretty sure you would have to use ImplicitRegion or ParametricRegion for this. E.g.:

region = ImplicitRegion[(2 - Sqrt[(y - 2)^2 + z^2]) > x^4 \[And] Sqrt[(y - 2)^2 + z^2] > 1, {x, y, z}]
RegionPlot3D[region, PlotRange -> {{-2, 2}, {-1, 5}, {-2, 2}}, PlotPoints -> 60, Axes -> True]

enter image description here
POSTED BY: Sander Huisman

This was double posted, here and on the SE. RegionPlot3D doesn't always produce the nicest plots so I used the user-defined contourRegionPlot3D in the answer here.

Mathematica graphics
POSTED BY: Jason Biggs
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