1. Find the volume of the solid that lies within both the cylinder a2 + y? = 25 and the sphere x² + y? + 2? = 64. You must use spherical coordinates. Draw a sketch showing the region of integration.

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 40E: Find the exact volume of the solid that results when the region bounded in quadrant I by the axes...
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Only hand written solution.
1. Find the volume of the solid that lies within both the cylinder r2 + y? = 25
and the sphere x? +y? +z2 = 64. You must use spherical coordinates. Draw
a sketch showing the region of integration.
%3D
Transcribed Image Text:Only hand written solution. 1. Find the volume of the solid that lies within both the cylinder r2 + y? = 25 and the sphere x? +y? +z2 = 64. You must use spherical coordinates. Draw a sketch showing the region of integration. %3D
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