9.2.4 Show that the slice z = c of the sphere x +y +z = 1 has the same area as the slice z c of the cylinder x +y2 1 outside the cone x+y = 2. 025 Deduce from Exercise 9.2.4, and the known volume of the cone, that the volume of the sphere is 2/3 the volume of the circumscribing cylinder

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
Section9.3: Cylinders And Cones
Problem 6E: Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a...
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9.2.4 Show that the slice z = c of the sphere x +y +z = 1 has the same area as
the slice z c of the cylinder x +y2
1 outside the cone x+y = 2.
025 Deduce from Exercise 9.2.4, and the known volume of the cone, that the
volume of the sphere is 2/3 the volume of the circumscribing cylinder
Transcribed Image Text:9.2.4 Show that the slice z = c of the sphere x +y +z = 1 has the same area as the slice z c of the cylinder x +y2 1 outside the cone x+y = 2. 025 Deduce from Exercise 9.2.4, and the known volume of the cone, that the volume of the sphere is 2/3 the volume of the circumscribing cylinder
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