Evaluate JJJ y² dV, where E is the solid hemisphere x² + y² + z² ≤ 4, y ≥ 0.

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
Section10.6: The Three-dimensional Coordinate System
Problem 41E: Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?
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Use spherical coordinates.
Evaluate
SSS y² dV, where E is the solid hemisphere x² + y² + z²
z² ≤ 4, y ≥ 0.
Transcribed Image Text:Use spherical coordinates. Evaluate SSS y² dV, where E is the solid hemisphere x² + y² + z² z² ≤ 4, y ≥ 0.
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