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.
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter84: Binary Numeration System
Section: Chapter Questions
Problem 5A
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![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc42a53c5-a661-4e08-8bd7-4bdfe484c1d7%2F04b26463-d5d1-47c0-95c1-7d804c49170c%2Fwz7c001_processed.png&w=3840&q=75)
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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