Halliday, Resnick & Walker — Images: Problem 30

30 A glass sphere has radius \(R = 5.0\text{ cm}\) and index of refraction \(1.6\). A paperweight is constructed by slicing through the sphere along a plane that is \(2.0\text{ cm}\) from the center of the sphere, leaving height \(h = 3.0\text{ cm}\). The paperweight is placed on a table and viewed from directly above by an observer who is distance \(d = 10.0\text{ cm}\) from the tabletop (Fig. 34-28). When viewed through the paperweight, how far away does the tabletop appear to be to the observer?