Surface of Revolution

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\documentclass{article}
\usepackage{tikz}
\usepackage{tikz-3dplot}
\usetikzlibrary{math}
\usepackage[active,tightpage]{preview}
\PreviewEnvironment{tikzpicture}
\setlength\PreviewBorder{1pt}
%
% File name: surface-of-revolution.tex
% Description: 
% A geometric representation of a surface of revolution is shown.
% 
% Date of creation: October, 17th, 2021.
% Date of last modification: October, 9th, 2022.
% Author: Efraín Soto Apolinar.
% https://www.aprendematematicas.org.mx/author/efrain-soto-apolinar/instructing-courses/
% Source: page 450 of the 
% Glosario Ilustrado de Matem\'aticas Escolares.
% https://tinyurl.com/5udm2ufy
%
% Terms of use:
% According to TikZ.net
% https://creativecommons.org/licenses/by-nc-sa/4.0/
% Your commitment to the terms of use is greatly appreciated.
%
\begin{document}
    %
    \tdplotsetmaincoords{60}{130}
    \begin{tikzpicture}[tdplot_main_coords]
        % The function that is rotated
        \tikzmath{function f(\x) {return 1.5 - 0.35*sin(\x r);};}
        \pgfmathsetmacro{\dominio}{2.0}
        \pgfmathsetmacro{\xi}{-\dominio}
        \pgfmathsetmacro{\step}{(\dominio-\xi)/70.0}
        \pgfmathsetmacro{\xs}{\xi+\step}
        \pgfmathsetmacro{\max}{3}
        % Circumferences (behind the coordiante axis)
        \foreach \x in {\xi,\xs,...,\dominio}{
            \pgfmathsetmacro{\radio}{f(\x)} % radius of the circumference of the solid of revolution
            \draw[cyan,very thick,opacity=0.35] plot[domain=0.5*pi:2.0*pi,smooth,variable=\t] ({\radio*cos(\t r)},{\x},{\radio*sin(\t r});  
        }
 
 
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