Find the volumes of the solids whose bases are bounded by the circle x2 + y2 = 9, with the indicated cross sections taken perpendicular to the x-axis (a) squares (b) equilateral triangles (c) semicircles (d) isosceles right triangles

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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Find the volumes of the solids whose bases are bounded by the circle x² + y² = 9, with the indicated cross sections taken perpendicular to the x-axis.
(a) squares
(b) equilateral triangles
(c) semicircles
(d) isosceles right triangles
y
Transcribed Image Text:Find the volumes of the solids whose bases are bounded by the circle x² + y² = 9, with the indicated cross sections taken perpendicular to the x-axis. (a) squares (b) equilateral triangles (c) semicircles (d) isosceles right triangles y
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