Solid Of Revolution

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Igor
Igor 2011-3-22
Hello! I have a problem that is hard to solve, I need to generate the image of a solid of revolution from the function y = ((x ^ 4) / 8) + (1 / (4 * (x ^ 2)));
I searched several websites, books and tutorials but found nothing to help me how to rotate this function. I've tried using the command cylinder, but neither worked.
What I got so far was this:
clear
close all
clc
x=sym('x');
y=((x^4)/8)+(1/(4*(x^2)));
[X,Y,Z]=cylinder(y);
ezsurf(X,Y,Z); title('Solid of Revolution'); xlabel('X'), ylabel('Z'), zlabel('Y');
Could anyone help me?
Thanks!

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Walter Roberson
Walter Roberson 2011-3-22
You aren't going to be able to plot an infinitely wide surface, which is what you are implicitly asking to do by allowing 0 to be included in the range for x (the default domain is -120 to +120 for x and y). The surface tends toward infinity as x tends towards 0 and as x tends towards infinity. Unless you cut a fairly narrow band, you are going to have a mess. And if you do cut a specific band, you can use specific x values to generate the solid rather than trying to get cylinder() to work with symbolics.

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