A zone of a sphere is the portion of the sphere that lies between two parallel planes.

Show that the surface area of a zone of a cylinder with radius R and height h is the same as the surface area of the zone of a sphere in Exercise 42.

Data From Exercise 42:

Show that the surface area of a zone of a sphere is S = 2πRh, where R is the radius of the sphere and h is the distance between the planes.