The sphere of radius 8cm is cut by two parallel planes, one passing 2cm from the center and the other 6cm from the center. Find the area of the zone if a. both planes are on the same side of the sphere, and b. the planes are on different sides.

The sphere of radius 8cm is cut by two parallel planes, one passing 2cm from the center and the other 6cm from the center. Find the area of the zone if a. both planes are on the same side of the sphere, and b. the planes are on different sides.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.2: Pyramids, Area, And Volume

Problem 10E

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Question

The sphere of radius 8cm is cut by two parallel planes, one passing 2cm from the center and the other 6cm from the center. Find the area of the zone if

a. both planes are on the same side of the sphere, and

b. the planes are on different sides.

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