6. Let S denote the toroidal surface whose equation in cylindrical coor- dinates is (r - 3)2 +22= 1. Let E denote the region of space that is trapped inside S and above the X-Y plane. Find the average Z- coordinate of a point in E.
6. Let S denote the toroidal surface whose equation in cylindrical coor- dinates is (r - 3)2 +22= 1. Let E denote the region of space that is trapped inside S and above the X-Y plane. Find the average Z- coordinate of a point in E.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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![6. Let S denote the toroidal surface whose equation in cylindrical coor-
dinates is (r - 3)² + z² = 1. Let E denote the region of space that
is trapped inside S and above the X-Y plane. Find the average Z-
coordinate of a point in E.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc158a850-76a9-4504-97b9-8593e0926539%2Ff257816a-dd0f-4151-a1b8-f09369f54d63%2F1usrffa_processed.jpeg&w=3840&q=75)
Transcribed Image Text:6. Let S denote the toroidal surface whose equation in cylindrical coor-
dinates is (r - 3)² + z² = 1. Let E denote the region of space that
is trapped inside S and above the X-Y plane. Find the average Z-
coordinate of a point in E.
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