Use spherical coordinates. Find the volume of the solid that lies within the sphere x² + y2 + z² = 4, above the xy-plane, and below the cone z = √√√√x² + y².
Use spherical coordinates. Find the volume of the solid that lies within the sphere x² + y2 + z² = 4, above the xy-plane, and below the cone z = √√√√x² + 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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Transcribed Image Text:Use spherical coordinates.
Find the volume of the solid that lies within the sphere x² + y² + z² = 4, above the xy-plane, and below the cone z = √√√x² + y².
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Step 1: In this step we give relation between cartesian and spherical coordinate
VIEWStep 2: Calculation
VIEWStep 3: In this step we find equation of sphere in spherical coordinate
VIEWStep 4: In this step we find equation of cone in spherical coordinate
VIEWStep 5: Calculation of volume
VIEWStep 6: In this step we get volume of the solid
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