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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.

Chapter9: Surfaces And Solids

Section9.CR: Review Exercises

Problem 22CR

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Question

/x² + y² and above by the sphere
x² + y + z? = 9. Use spherical coordinates to evaluate the integral / , z? dV. Your
Consider the solid R bounded below by the cone z =
%3D
answer should include a correctly formulated triple integral (in spherical coordinates) and a
numerical value.
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For the right circular cylinder, suppose that r=5 in. and h=6 in. Find the exact and approximate a lateral area. b total area. c volume.
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Use triple integrals to find the volume of the solid bounded above by the cylinder z = 4 - 3y2 and bounded below by the elliptic paraboloid z = 4x2 + y2. (Use either rectangular or cylindrical coordinates.)
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