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Use spherical coordinates to find the volume of the solid enclosed by the sphere x? + y² + z² = 4a² and the planes z = 0 and z = a. NOTE: Enter the exact answer. V %3D

Use spherical coordinates to find the volume of the solid enclosed by the sphere x? + y² + z² = 4a² and the planes z = 0 and z = a. NOTE: Enter the exact answer. V %3D

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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Use spherical coordinates to find the volume of the solid enclosed by the sphere x? + y² + z² = 4a² and the planes z = 0 and z = a. NOTE: Enter the exact answer. V %3D
Transcribed Image Text:Use spherical coordinates to find the volume of the solid enclosed by the sphere x? + y² + z² = 4a² and the planes z = 0 and z = a. NOTE: Enter the exact answer. V %3D
Use cylindrical or spherical coordinates to evaluate the integral. NOTE: Enter the exact answer. 2 4-y? /8-x2–y² 2? dz dx dy 0.
Transcribed Image Text:Use cylindrical or spherical coordinates to evaluate the integral. NOTE: Enter the exact answer. 2 4-y? /8-x2–y² 2? dz dx dy 0.
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