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Let S1 be the hemisphere with Cartesian equation z = 6 – V36 – x² – y² and S2 be the upper nappe of the cone x2 + y? – 322 = 0. Let G2 the solid enclosed by S1 and S2. Find the volume of G2 using a triple integral in spherical coordinates.

Let S1 be the hemisphere with Cartesian equation z = 6 – V36 – x² – y² and S2 be the upper nappe of the cone x2 + y? – 322 = 0. Let G2 the solid enclosed by S1 and S2. Find the volume of G2 using a triple integral in spherical coordinates.

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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Let S1 be the hemisphere with Cartesian equation z = 6 – V36 – x² – y? and S2 be the upper nappe of the cone x2 + y² – 3z2 = 0. Let G2 the solid enclosed by Sı and S2. Find the volume of G2 using a triple integral in spherical coordinates.
Transcribed Image Text:Let S1 be the hemisphere with Cartesian equation z = 6 – V36 – x² – y? and S2 be the upper nappe of the cone x2 + y² – 3z2 = 0. Let G2 the solid enclosed by Sı and S2. Find the volume of G2 using a triple integral in spherical coordinates.
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