The Surface Area of a Spherical Segment. Call the Radius of the Sphere , the upper and lower
Radii and , respectively, and the height of the Spherical Segment . The zone is a
Surface of Revolution about the z-Axis, so the Surface Area is given by
See also Sphere, Spherical Cap, Spherical Segment, Zonohedron
Beyer, W. H. (Ed.). CRC Standard Mathematical Tables, 28th ed. Boca Raton, FL: CRC Press,
p. 130, 1987.