Use Pappus’s Theorem for surface area and the fact that the sur-face area of a sphere of radius a is 4pai a2 to find the centroid of the semicircle y = sqrt(a2 - x2).

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
Section10.6: The Three-dimensional Coordinate System
Problem 41E: Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?
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Use Pappus’s Theorem for surface area and the fact that the sur-face area of a sphere of radius a is 4pai a2 to find the centroid of the semicircle y = sqrt(a2 - x2).

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