8 For a sphere of radius r = a, find by integration (a) its surface area, (b) the centroid of the curved surface of a hemisphere, (c) the moment of inertia of the whole spherical shell about a diameter assuming constant area density, (d) the volume of the ball r≤a, (e) the centroid of a solid half ball.
8 For a sphere of radius r = a, find by integration (a) its surface area, (b) the centroid of the curved surface of a hemisphere, (c) the moment of inertia of the whole spherical shell about a diameter assuming constant area density, (d) the volume of the ball r≤a, (e) the centroid of a solid half ball.
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 40E: For the sphers x-12+y+22+z-42=36 and x2+y2+z2=64, find the ratio of their a surface areas. b...
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For a sphere of radius r = a, find by integration (a) its surface area, (b) the centroid of the curved surface
of a hemisphere, (c) the moment of inertia of the whole spherical shell about a diameter assuming constant area
density, (d) the volume of the ball r≤a, (e) the centroid of a solid half ball.
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