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Evaluate ||/ Væ² +y? dV, where E is the region that lies inside the cylinder æ² + y² = 16 and between the E planes z = -5 and z = 4.

Evaluate ||/ Væ² +y? dV, where E is the region that lies inside the cylinder æ² + y² = 16 and between the E planes z = -5 and z = 4.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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19. Evaluate \(\iiint_E \sqrt{x^2 + y^2} \, dV\), where \(E\) is the region that lies inside the cylinder \(x^2 + y^2 = 16\) and between the planes \(z = -5\) and \(z = 4\).
Transcribed Image Text:19. Evaluate \(\iiint_E \sqrt{x^2 + y^2} \, dV\), where \(E\) is the region that lies inside the cylinder \(x^2 + y^2 = 16\) and between the planes \(z = -5\) and \(z = 4\).
Expert Solution
Step 1

Given : 

The integral ∫ ∫ ∫E x2+y2 dV , where E is the region that lies inside the cylinder  x2+y2 = 16  and between the planes z = -5 and z = 4.

 

To determine :

The value of the integral.

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