Use cylindrical coordinates. Evaluate 2 [S] √x² + y² dV, where E is the region that lies inside the cylinder x² + y² = 1 and between the planes z = 1 and z = 6. E

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?
Question
Use cylindrical coordinates.
Evaluate
2
[S] √x² + y² dV, where E is the region that lies inside the cylinder x² + y² = 1 and between the planes z = 1 and z = 6.
E
Transcribed Image Text:Use cylindrical coordinates. Evaluate 2 [S] √x² + y² dV, where E is the region that lies inside the cylinder x² + y² = 1 and between the planes z = 1 and z = 6. E
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