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Revolving a region about the x-axis

Posted 11 years ago
Hi, everyone, I have the next problem, let RĀ  be region bounded by y = 12-x^3 and y=12-4x, find the volume generatedĀ  by revolving R about x-axis, what interests me is to rotate about the x axis, the next intersection
Plot[{12 - x^3, 12 - 4 x}, {x, -2, 2},
Filling -> {1 -> {{2}, Yellow}}]
but not how to do it, I hope someone has a suggestion,I'm interested in the 3D graphic
POSTED BY: Luis Ledesma
2 Replies
Posted 11 years ago
Exactly what I need, please help me resolve my doubt.
POSTED BY: Luis Ledesma
Hi,

are you looking for something like this?
Show[RevolutionPlot3D[12 - x^3, {x, -2, 2}, {theta, 0, 2 Pi},
  RevolutionAxis -> {1, 0, 0}, AspectRatio -> 1],
RevolutionPlot3D[12 - 4 x, {x, -2, 2}, {theta, 0, 2 Pi},
  RevolutionAxis -> {1, 0, 0}, AspectRatio -> 1]]



M.
POSTED BY: Marco Thiel
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