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Find the volume between the cone x = Vy2 + z2 and the sphere x2 + y + z? = 36. Hint: Use spherical coordinates where the axis of symmetry of the cone plays the role of the z-axis. volume = pi(2-1/sqrt(2))(6^3/3)

Find the volume between the cone x = Vy2 + z2 and the sphere x2 + y + z? = 36. Hint: Use spherical coordinates where the axis of symmetry of the cone plays the role of the z-axis. volume = pi(2-1/sqrt(2))(6^3/3)

Elementary Geometry For College Students, 7e
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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Pi(6^3/3)(2-1/sqrt(2)) is what I got and it's incorrect.

Find the volume between the cone x = y² + z² and the sphere x² + y + z? 36. Hint: Use spherical coordinates where the axis of symmetry of the cone plays the role of the z-axis. volume = pi(2-1/sqrt(2))(6^3/3)
Transcribed Image Text:Find the volume between the cone x = y² + z² and the sphere x² + y + z? 36. Hint: Use spherical coordinates where the axis of symmetry of the cone plays the role of the z-axis. volume = pi(2-1/sqrt(2))(6^3/3)
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