Consider x^2 + y^2 = 12, x^2 + y^2= 3 and z = 5 in the first octant. a. SET UP the Cartesian triple integral that solves the volume of the solid inside the cylinder x^2 + y^2= 12 but outside x^2 + y^2 = 3 with dV = dzdxdy as the order of integration. b. Using a triple integral in cylindrical coordinates, find the volume of the region inside x^2+y2^2 = 12 but outside x^2 + y^2 = 3.

Consider x^2 + y^2 = 12, x^2 + y^2= 3 and z = 5 in the first octant. a. SET UP the Cartesian triple integral that solves the volume of the solid inside the cylinder x^2 + y^2= 12 but outside x^2 + y^2 = 3 with dV = dzdxdy as the order of integration. b. Using a triple integral in cylindrical coordinates, find the volume of the region inside x^2+y2^2 = 12 but outside x^2 + y^2 = 3.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.CR: Review Exercises

Problem 22CR

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