Find the mass the solid enclosed by the sphere and the cylinder shown in the following figure. The density of the solid is |4zy 8(x, y) z²|y²
Find the mass the solid enclosed by the sphere and the cylinder shown in the following figure. The density of the solid is |4zy 8(x, y) z²|y²
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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Plz correct solution.
![Find the mass the solid enclosed by the sphere and the cylinder shown in the following figure. The density of the solid is
|4zy
8(x, y)
z² + y²
Mass=
1
0.5
0
-0.5
-1
-1
x² + y² +2²=1 x² + (y-1)² = 1
0
x
Y
(Click on the graph for a larger version)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb3d3ce54-483c-4f57-af35-4510208e1257%2Ffdb320f3-af4e-49b9-8051-c3d14f52980f%2Fyjyjtchf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Find the mass the solid enclosed by the sphere and the cylinder shown in the following figure. The density of the solid is
|4zy
8(x, y)
z² + y²
Mass=
1
0.5
0
-0.5
-1
-1
x² + y² +2²=1 x² + (y-1)² = 1
0
x
Y
(Click on the graph for a larger version)
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Step 1: Analysis and Introduction:
VIEWStep 2: Compute the limit on integration:
VIEWStep 3: Write the density function and the integral in cylindrical coordinate
VIEWStep 4: Solve the first integral
VIEWStep 5: Solve the second integral
VIEWStep 6: Solve the third integral:
VIEWStep 7: Calculate the mass of the solid.
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