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I have a full version of Mathematica Home Edition 9 installed on a high end desktop. I'm trying to learn how to use it and keep coming up with an error message that I cannot figure out.

I want to plot a 3D graph in cylindrical coordinates. I thoroughly know calculus 3, so the math isn't the problem. The problem is figuring out what I'm doing wrong in Mathematica. I searched many websites and found that I need to load a graphics package called ParametricPlot3D in order to get the graphics routines necessary. I copy and pasted the exact commands, and I still get the error message. Below is an exact copy & paste of what I typed and what error I got from Mathematica. Can anyone please guide me to correct this?

Needs["Graphics`ParametricPlot3D`"]

CylindricalPlot3D[ 9 - r^2, {r, 0, 3}, {theta, 0, 2*Pi}]
Get::noopen: Cannot open Graphics`ParametricPlot3D.

Needs::nocont: "Context \!\(\"Graphics`ParametricPlot3D`\"\) was not created when 
Needs was evaluated. " 

I have also tried a different way to load the graphics routines, and here's the message I'm getting:

<< Graphics``ParametricPlot3D`

CylindricalPlot3D[ 9 - r^2, {r, 0, 3}, {theta, 0, 2*Pi}]
Get::noopen: "Cannot open \!\(\"Graphics`ParametricPlot3D`\"\). " 

I realize that the character was missing from the ends of theGraphics` statement, but this text editor won't let me put one at the end and keep that same character at the beginning. Trust me, it is there.

I suspect it might be some sort of setting I have to enable, or maybe a directory path that is incorrect, or even I need to download graphics routines. If someone can point me in the right direction, I'd be truly grateful.

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1 Answer

The functionality of the old CylindricalPlot3D is included in the built-in RevolutionPlot3D

RevolutionPlot3D[9 - r^2, {r, 0, 3}, {θ, 0, 2*Pi}]

enter image description here

This is in the documentation here (I found it by highlighting CylindricalPlot3D and pressing F1).

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