Graphics, Figures & Tables ⇒ How to create this Solid of Revolution

[coachbennett1981]

Hey Everyone,

I have received some help on this, but I am trying to figure out a way to draw solids of revolution without 3-D software. I am trying to draw the attached figure. Here is what I have:

Code: Select all

Code, edit and compile here:

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\documentclass{article}
\usepackage{pgfplots}
\usepgfplotslibrary{fillbetween}
\pgfplotsset{compat=newest}
\usepackage{amssymb}
\usetikzlibrary{decorations.pathmorphing}
\usetikzlibrary{plotmarks}
\usetikzlibrary{arrows}
\usetikzlibrary{shapes.misc, positioning}
\usetikzlibrary{arrows,shapes,positioning}
\usetikzlibrary{decorations.markings}
\usetikzlibrary{arrows.meta,bending}
\tikzset{font=\footnotesize}
\begin{document}
    \begin{tikzpicture}
        \begin{axis}[thick,
                        scale only axis,
                        axis lines=middle,
                        inner axis line style={-Triangle},
                        ymin=-5,
                        ymax=5,
                        xmin=-1,
                        xmax=3,
                    ]
                    \addplot[name path=f,thick, red,samples=1000,domain=0:2]{x^2+1};
                    \addplot[name path=g,thick,blue, samples=1000,domain=0:2]{-x^2-1};
                   \draw[thick,dashed] (axis cs:2,0) ellipse [x radius=0.8cm,y radius =3.4cm] ;
                  \draw[thick,dashed] (axis cs:0.7,0) ellipse [x radius=.3cm,y radius=1cm] ;
                \end{axis}
    \end{tikzpicture}
\end{document}
 
 
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Run LaTeX here

Most of it was trial and error. Is there a more efficient way? I would like to draw different figures

[Stefan Kottwitz]

Hi Nick,

you could use pgfplots to show it in 3D with TikZ in LaTeX. Find the right formula and make a nice surface plot.

Take a look here: https://pgfplots.net/tag/3d/

Stefan

[coachbennett1981]

Thank you. I will take a look

[coachbennett1981]

I wanted to avoid the 3d look of it and keep to more traditional pics (similar to the textbook I am using)