2. Use spherical coordinates to find the volume of the solid that lies above the /x² + y? and below the sphere 3 (x² + y² + z²) = z. Draw a cone z = V3 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 41E: Find the exact lateral area of each solid in Exercise 40. Find the exact volume of the solid formed...
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2. Use spherical coordinates to find the volume of the solid that lies above the
1
x² + y? and below the sphere 3(x² + y² + 2²) = z. Draw a
cone z =
%3D
V3
sketch showing the region of integration.
Transcribed Image Text:2. Use spherical coordinates to find the volume of the solid that lies above the 1 x² + y? and below the sphere 3(x² + y² + 2²) = z. Draw a cone z = %3D V3 sketch showing the region of integration.
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