\documentclass[border=5mm]{standalone}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}
   \shade[ball color = gray!40, opacity = 0.4] (-6,3) circle (1.5cm);
  \draw (-6,3) circle (1.5cm);
  \draw (-7.5,3) arc (180:360:1.5 and 0.4);
  \draw[dashed] (-4.5,3) arc (0:180:1.5 and 0.4);
  \fill[fill=black] (-7.5,3) circle (2pt) node[above left]{{\tiny $E_{0}$}};
 \fill[fill=black] (-4.5,3) circle (2pt) node[below right]{{\tiny $E_{1}$}};
 %------
  \draw (-4.8,3.9) arc (100:270:0.9cm and 1.28cm);
    \draw[dashed] (-4.8,3.9) arc (50:-90:0.9cm and 1.28cm);
\end{tikzpicture}
\end{document}