2 Let E be the solid region that lies inside x² + y² + z² = 1 with ≥ 0. Write a triple integral in cylindrical coordinates that gives the volume of E. Evaluate the integral.

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 2E
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Let E be the solid region that lies inside x² + y² + z² = 1 with ≥ 0. Write a
triple integral in cylindrical coordinates that gives the volume of E. Evaluate the integral.
2
2
Transcribed Image Text:Let E be the solid region that lies inside x² + y² + z² = 1 with ≥ 0. Write a triple integral in cylindrical coordinates that gives the volume of E. Evaluate the integral. 2 2
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