1 11. D X + y² + z² dV, where D is the solid region above the xy plane bounded by the cone z = V3x² + 3y²2 and the spheres x² + 1 ² + z² = 9 and x² + y² + z² = 81

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 40E: Find the exact volume of the solid that results when the region bounded in quadrant I by the axes...
Question

express with spherical coords, then evaluate. show all steps

1
11.
D
X + y² + z²
dV, where D is the solid region above
the xy plane bounded by the cone z = V3x² + 3y²2 and
the spheres x² + 1 ² + z² = 9 and x² + y² + z² = 81
Transcribed Image Text:1 11. D X + y² + z² dV, where D is the solid region above the xy plane bounded by the cone z = V3x² + 3y²2 and the spheres x² + 1 ² + z² = 9 and x² + y² + z² = 81
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