Solved: (a) Show that the surface area of a zone of a sphere that lies between two
Chapter 8, Problem 36(choose chapter or problem)
(a) Show that the surface area of a zone of a sphere that lies between two parallel planes is S 2Rh, where R is the radius of the sphere and h is the distance between the planes. (Notice that S depends only on the distance between the planes and not on their location, provided that both planes intersect the sphere.) (b) 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 part (a).
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