Evaluate the surface integral. (x² + y² + z²) dS, S is the part of the cylinder x² + y² = 16 between the planes z = 0 and z = 5, together with its top and bottom disks

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.1: Parabolas
Problem 39E
Question
Evaluate the surface integral.
 
 
S
(x2 + y2 + z2) dS,
   S is the part of the cylinder 
x2 + y2 = 16
 between the planes 
z = 0
 and 
z = 5,
 together with its top and bottom disks
Evaluate the surface integral.
16xx
(x² + y² + z²) dS, S is the part of the cylinder x² + y² = 16 between the planes z = 0 and z = 5,
together with its top and bottom disks
Transcribed Image Text:Evaluate the surface integral. 16xx (x² + y² + z²) dS, S is the part of the cylinder x² + y² = 16 between the planes z = 0 and z = 5, together with its top and bottom disks
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