Set up and evaluate the triple integral in spherical coordinates needed to compute the volume of the solid that lies outside of the sphere x² + y2² +2² = 36 and inside the sphere x² + y² +2²= 122. 299 Evaluate the integral to obtain the volume of the region. Enter an exact answer in terms of π. p² sin (6) dp do de

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 41E: Find the exact lateral area of each solid in Exercise 40. Find the exact volume of the solid formed...
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3.6 8.2
Set up and evaluate the triple integral in spherical coordinates needed to compute the volume of the solid
that lies outside of the sphere x² + y² + ² = 36 and inside the sphere x² + y² + z² = 12z.
1281
Evaluate the integral to obtain the volume of the region. Enter an exact answer in terms of π.
p² sin(6) dp do de
Transcribed Image Text:Set up and evaluate the triple integral in spherical coordinates needed to compute the volume of the solid that lies outside of the sphere x² + y² + ² = 36 and inside the sphere x² + y² + z² = 12z. 1281 Evaluate the integral to obtain the volume of the region. Enter an exact answer in terms of π. p² sin(6) dp do de
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