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  • $\begingroup$ And, it should work in V8 or even earlier. $\endgroup$ Commented Dec 16, 2012 at 20:39
  • $\begingroup$ I want to upvote this answer but I don't like the coding. What's going on with r, th, ph? You never localized these. Yet, you did localize x, y, z which you should not have as these are already localized by RegionPlot3D. I know you can do better. $\endgroup$ Commented Dec 16, 2012 at 23:50