\begin{pspicture}(-4,-4)(4,4)
\psset{viewpoint=10 3 3,Decran=80}
\psset{solidmemory}
\psSolid[object=octahedron,
   a=1, %% radius of sphere wich contains octahedron
   fillcolor=orange,
   name=my_tetrahedron,
   action=none]
\psset{opacity=.8}
\psSolid[object=calottesphere,
   r=1, %% radius of sphere
   phi=-90, theta=0,
   ngrid=18 36,
   name=my_sphere,
   incolor=cyan,
   fillcolor=Aquamarine,
   hollow,
   action=none]
\psSolid[object=fusion,
   base=my_sphere my_tetrahedron
]
\composeSolid
\end{pspicture}