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Find the volume of the region using cylindrical coordinates.

Find the volume of the region using cylindrical coordinates.

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 51AR
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please send handwritten solution for Q8 part b
8. Let V be the volume of the region inside the sphere r2 +y? + z? = 6 that 2 = r? + y?. lies above the paraboloid z = (a) Write down the triple integral that corresponds to this volume, and specify the bounds of integration with the order of integration z first, y second, and a last. DO NOT evaluate this integral. (b) Find the volume of the region using cylindrical coordinates.
Transcribed Image Text:8. Let V be the volume of the region inside the sphere r2 +y? + z? = 6 that 2 = r? + y?. lies above the paraboloid z = (a) Write down the triple integral that corresponds to this volume, and specify the bounds of integration with the order of integration z first, y second, and a last. DO NOT evaluate this integral. (b) Find the volume of the region using cylindrical coordinates.
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