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# Solved: (a) Show that the surface area of a zone of a sphere that lies between two ISBN: 9781305270336 484

## Solution for problem 36 Chapter 8.2

Single Variable Calculus: Early Transcendentals | 8th Edition

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Problem 36

(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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##### ISBN: 9781305270336

This textbook survival guide was created for the textbook: Single Variable Calculus: Early Transcendentals, edition: 8. The answer to “(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).” is broken down into a number of easy to follow steps, and 94 words. Since the solution to 36 from 8.2 chapter was answered, more than 226 students have viewed the full step-by-step answer. Single Variable Calculus: Early Transcendentals was written by and is associated to the ISBN: 9781305270336. The full step-by-step solution to problem: 36 from chapter: 8.2 was answered by , our top Calculus solution expert on 03/19/18, 03:29PM. This full solution covers the following key subjects: . This expansive textbook survival guide covers 95 chapters, and 5427 solutions.

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