The solid S is bounded above by z = 4 and bounded below by the paraboloid z = x² + y?. Write and evaluate a triple integral that expresses the volume of S using cylindrical coordinates.

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 11E
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The solid S is bounded above by z = 4 and bounded below by the paraboloid z = x² + y² . Write and evaluate a triple integral that expresses the volume of S using cylindrical
coordinates.
Transcribed Image Text:The solid S is bounded above by z = 4 and bounded below by the paraboloid z = x² + y² . Write and evaluate a triple integral that expresses the volume of S using cylindrical coordinates.
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ISBN:
9780321964038
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Pearson Addison Wesley,