A glass sphere has radius $R=5.0 mathrm{cm}$ and index of refraction $1.6 .$ A paperweight is constructed by slicing through the sphere along a plane that is 2.0 $mathrm{cm}$ from the center of the sphere, leaving height $h=3.0 mathrm{cm} .$ The paper weight is placed on a table and
viewed from directly above by an observer who is distance $d=8.0 mathrm{cm}$ from the tabletop. When viewed through the paperweight, how far away does the tabletop appear to be to the observer?