I would like to draw a scattering experiment. For this purpose I need to draw the band of a sphere. It seems rather complicated and my basic tikz skills are sadly not enough. If somebody has an input for me, please let me know.
EDIT: I achieved the drawing of the spherical band using latitudes and rotating the picture 90 degrees. But how can I do the filling between the two latitudes like in my sketch?
\begin{tikzpicture}
\newcommand\latitude[1]{%
\draw[dashed] (#1:2) arc (0:-180:{2*cos(#1)} and {0.25*cos(#1)});
\draw (#1:2) arc (0:180:{2*cos(#1)} and {0.25*cos(#1)});
}
\begin{scope}[rotate around={90:(8,0)},shift={(8,0)}]
\draw[fill=black] (0,0) circle (0.1);
\draw[dashed] (0,0) circle (2);
\latitude{-20}
\latitude{-30}
\end{scope}
%
\end{tikzpicture}