6. Find the volume of the region bounded above by the paraboloid z = 9-x² - y², below by the xy-plane, and lying outside the cylinder x² + y² = 1.

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 3E
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6. Find the volume of the region bounded above by the paraboloid z = 9 - x² - y², below by
the xy-plane, and lying outside the cylinder x² + y² = 1.
Transcribed Image Text:6. Find the volume of the region bounded above by the paraboloid z = 9 - x² - y², below by the xy-plane, and lying outside the cylinder x² + y² = 1.
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