Coaxial cable in pgfplots

Question

I want to draw a coaxial cable using pgfplots. It more or less has to be done within that program because in my document, I also want to add some 3D plot next to the cable. (I guess a solution using pure TikZ could also be used, but it has to use the pgfplots coordinates for the aforementioned reasion).

I use the below code with the result following it. You can more or less see the problem: The inner cable appears on top of the outer one. Writing the code for the two cables in the opposite order puts the inner cable in an invisible position behind the outer one, an equally bad solution. Can someone fix this, that is, make it seem as if the inner cable is really within the outer one?

documentclass{memoir}

usepackage{tikz,pgfplots}

begin{document}

begin{tikzpicture}
    begin{axis}[axis equal image]

addplot3[surf,shader=interp,z buffer=sort,variable=u,variable y=v,domain=0:80, y domain=0:360] ({u},{13*cos(v)}, {13*sin(v)});

addplot3[surf,shader=interp,z buffer=sort,variable=u,variable y=v,domain=0:80, y domain=0:360,colormap/cool] ({u},{4*cos(v)}, {4*sin(v)});
    end{axis}
    end{tikzpicture}

end{document}

user11232 · Accepted Answer

You can split the outer cable as suggested by Jake.

documentclass{memoir}

usepackage{pgfplots}
pgfplotsset{compat=1.11}

begin{document}

begin{tikzpicture}
  begin{axis}[axis equal image]

addplot3[surf,shader=interp,z buffer=sort,variable=u,variable y=v,domain=0:80,
                    y domain=-90:90] ({u},{13*cos(v)}, {13*sin(v)});
       addplot3[surf,shader=interp,z buffer=sort,variable=u,variable y=v,domain=0:80,
                    y domain=0:360,colormap/cool] ({u},{4*cos(v)}, {4*sin(v)});
       addplot3[surf,shader=interp,z buffer=sort,variable=u,variable y=v,domain=0:80,
                    y domain=90:270] ({u},{13*cos(v)}, {13*sin(v)});
    end{axis}
   end{tikzpicture}

end{document}

With hide axis:

Coaxial cable in pgfplots

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