Set up an integral in Cylindrical coordinates that represents the volume of the solid above the cone z = V6x2 + 6y2 and inside the sphere a2 + y? + z? = 1

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 5E: For the right circular cylinder, suppose that r=5 in. and h=6 in. Find the exact and approximate a...
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Set up an integral in
Cylindrical coordinates that
represents the volume of the
solid above the cone
V6x2 + 6y? and
inside the sphere
a? + y? + z? = 1
2
So" So SYor
zdzdrd0
2 Sor
rdzdrde
rdzdrd0
-2x
Jo Jo SY zdzdrde
Transcribed Image Text:Set up an integral in Cylindrical coordinates that represents the volume of the solid above the cone V6x2 + 6y? and inside the sphere a? + y? + z? = 1 2 So" So SYor zdzdrd0 2 Sor rdzdrde rdzdrd0 -2x Jo Jo SY zdzdrde
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