Find the surface area of the portion of the sphere x² + y? + z² = 8 that is cut out by the cone z = Vr² + y². (This is a "spherical cap.") %3D

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 36E: Find the area of ABC In Exercise 35, but assume that C is the reflection of B across the y-axis.
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Find the surface area of the portion of the sphere x² + y? + z? = 8
that is cut out by the cone z = Væ² + y². (This is a "spherical cap.")
Transcribed Image Text:Find the surface area of the portion of the sphere x² + y? + z? = 8 that is cut out by the cone z = Væ² + y². (This is a "spherical cap.")
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