7. Set up and evaluate a spherical coordinates integral for the volume of the solid bounded below by the sphere p = 2 cos (which is the sphere x² + y² + (z − 1)² = 1) and above by the cone z = √√√x² + y². p = 2 cos o y

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter8: Further Techniques And Applications Of Integration
Section8.3: Volume And Average Value
Problem 12E
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Use spherical Coordinates 

7. Set up and evaluate a spherical coordinates integral for the volume of the solid bounded
below by the sphere p = 2 cos (which is the sphere x² + y² + (z − 1)² = 1) and
√x² + y².
above by the cone z = √
p= 2 cos o
y
Transcribed Image Text:7. Set up and evaluate a spherical coordinates integral for the volume of the solid bounded below by the sphere p = 2 cos (which is the sphere x² + y² + (z − 1)² = 1) and √x² + y². above by the cone z = √ p= 2 cos o y
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