The volume in spherical coordinates for the solid that lies within the sphere p 2 above the ry-plane and below the cone o = is

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 37E: Find the exact volume of the solid that results when the triangular region with vertices at 0, 0, 5,...
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The volume in spherical coordinates
for the solid that lies
within the sphere p= 2
above the ry-plane
and below the cone o =
is
o S: S" So sin pdpd0dø
27
So S S sin ødpdodo
Sa S psin? odpd@do
P S e sin' odpd@dø
27
J.sin φαρdθd
27
OS S" S p sin? odpdedo
Ps
Transcribed Image Text:The volume in spherical coordinates for the solid that lies within the sphere p= 2 above the ry-plane and below the cone o = is o S: S" So sin pdpd0dø 27 So S S sin ødpdodo Sa S psin? odpd@do P S e sin' odpd@dø 27 J.sin φαρdθd 27 OS S" S p sin? odpdedo Ps
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