Revolve A Function Around the Y axis?

Question

I am seeking to revolve the are between the functions function $d(x) = Exp(x)$ and $e(x) = 4 - x^2$ around the line $x = 2$. I am using RevolutionPlot3D, so I thought it best to use the Y axis instead. Here is the modified code:

d[x_] := E^(x + 2)
e[x_] := 4 - (x + 2)^2

RevolutionPlot3D[{{d[x]}, {e[x]}}, {x, -1.96464 - 2, 1.05801 - 2}, 
                RevolutionAxis -> "Y"]

However, I find that the code does not produce the revolution that I am seeking. Is there a syntax error or an error in my methodology? Any push in the right direction would be quite helpful.

Possible duplicate Arbitrary axis approach by J. M. and strongly related almost the same case — Kuba, Mar 23 '14 at 18:40
The region you want to rotate is ambiguous! Is the region you want rotated the "quasi-triangular" region bounded by the line $x = 1$ on its left, the curve $y = 4 - x^2$ above, and the curve $y = exp(x)$ below? — murray, Mar 23 '14 at 21:20

score 2 · Accepted Answer · answered Mar 24 '14 at 00:13

2

Is this what you are seeking ?

RevolutionPlot3D[{{x, d[x], 0}, {x, e[x], 0}}, 
 {x, -1.96464 - 2,  1.05801 - 2}, RevolutionAxis -> "Y"]

enter image description here

answered Mar 24 '14 at 00:13

qwerty

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Revolve A Function Around the Y axis?

1 Answers1