Find the volume of the solid region which lies inside the sphere x2 + y² + z² = 4z and outside of the cone z? = x? + y². a ) Use spherical coordinates. b ) Use cylindrical coordinates.

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.CR: Review Exercises
Problem 22CR
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Find the volume of the solid region which lies inside the sphere x2 +y? + 2² = 4z and
outside of the cone z2 = ² + y?.
a )
Use spherical coordinates.
b)
Use cylindrical coordinates.
Transcribed Image Text:Find the volume of the solid region which lies inside the sphere x2 +y? + 2² = 4z and outside of the cone z2 = ² + y?. a ) Use spherical coordinates. b) Use cylindrical coordinates.
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