Theory and ExamplesNoncircular cylinder A solid right

Chapter 15, Problem 77E

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Problem 77E

Theory and Examples

Noncircular cylinder A solid right (noncircular) cylinder has its base R in the xy-plane and is bounded above by the paraboloid  The cylinder’s volume is

Sketch the base region R and express the cylinder’s volume as a single iterated integral with the order of integration reversed. Then evaluate the integral to find the volume.

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