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SET-UP a triple integral that will solve for volume of the solid S bounded by the sphere x² + y² + z² = 4 and enclosed inside the cylinder x² + y² = 1 using a.) Cartesian coordinates with dV = dz dx dy b.) Cylindrical coordinates

SET-UP a triple integral that will solve for volume of the solid S bounded by the sphere x² + y² + z² = 4 and enclosed inside the cylinder x² + y² = 1 using a.) Cartesian coordinates with dV = dz dx dy b.) Cylindrical coordinates

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 41E: Find the exact lateral area of each solid in Exercise 40. Find the exact volume of the solid formed...
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SET-UP a triple integral that will solve for volume of the solid S bounded by the sphere x² + y² + z² = 4 and enclosed inside the cylinder x² + y² = 1 using a.) Cartesian coordinates with dV = dz dx dy b.) Cylindrical coordinates
Transcribed Image Text:SET-UP a triple integral that will solve for volume of the solid S bounded by the sphere x² + y² + z² = 4 and enclosed inside the cylinder x² + y² = 1 using a.) Cartesian coordinates with dV = dz dx dy b.) Cylindrical coordinates
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