6. Show that when a hole of radius a is bored through the center of the sphere of radius b, the volume of the sphere that is left is V= (4T/3)(b² - a²)(3/2)

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.6: The Three-dimensional Coordinate System
Problem 40E: For the sphers x-12+y+22+z-42=36 and x2+y2+z2=64, find the ratio of their a surface areas. b...
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6. Show that when a hole of radius a is bored through the center of the sphere of radius
b, the volume of the sphere that is left is V= (4T/3)(b² - a²)(3/2)
Transcribed Image Text:6. Show that when a hole of radius a is bored through the center of the sphere of radius b, the volume of the sphere that is left is V= (4T/3)(b² - a²)(3/2)
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