I currently have something like this and I would like to shade the part inside the parabola but make the border the bottom part of the ellipse. I've tried pscustom but I can't seem to do it

Could anyone please help?
Thanks heaps
Code: Select all
\documentclass[12pt, fleqn, leqno]{article}
\pagestyle{empty}
\linespread{1.5}
\usepackage{polynom}
\usepackage{amsmath}
\usepackage{pstricks}
\usepackage{pst-plot}
\usepackage[lmargin=1cm, rmargin=1cm, tmargin=1cm, bmargin=1cm]{geometry}
\newcommand{\cosec}{\operatorname{cosec}}
\begin{document}
\begin{figure}[!htb]
\begin{center}
\begin{pspicture}(-5,-1)(5,5)
\psaxes[linewidth=1.2pt, labels=none, ticks=none]{->}(0,0)(-5,-1)(5,5)[$x$,-90][$y$,180]
\parabola{<->}(2.5,4)(0,0)
\psellipse[linestyle=dashed](0,3)(2.15,0.5)
\psline[linewidth=1.2pt, linecolor=white](0,2.53)(0,2.989)
\psline[linestyle=dotted](-2,3)(2,3)
\rput(-0.2,3){$h$}
\end{pspicture}
\end{center}
\end{figure}
\end{document}