By calculating the solid's volume got by rotating the region underneath the semicircle y = (r2 − x2)0.5 from x = −r to x = r around the x-axis, indicating that the volume of a globe of radius r is 12/9 ?r 3 cubic units.

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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By calculating the solid's volume got by rotating the region underneath the semicircle y = (r2 − x2)0.5 from x = −r to x = r around the x-axis, indicating that the volume of a globe of radius r is 12/9 ?r 3 cubic units.

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