5) Find the volume of the solid of the region common to the interiors of the cylinders x2 + = 1 and x2 + z2 = 1, one-eighth of which is shown in the accompanying figure (first quadrant). Use 1) dzdydx. 2) dxdydz. 3) dydxdz. +y? 1 x2 + 2 = 1

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.CR: Review Exercises
Problem 22CR
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5) Find the volume of the solid of the region common to the interiors of the cylinders x2 + y2
= 1 and x? + z2 =1, one-eighth of which is shown in the accompanying figure (first
quadrant). Use 1) dzdydx. 2) dxdydz.
3) dydxdz.
x +y 1
x2 +2 = 1
y
Transcribed Image Text:5) Find the volume of the solid of the region common to the interiors of the cylinders x2 + y2 = 1 and x? + z2 =1, one-eighth of which is shown in the accompanying figure (first quadrant). Use 1) dzdydx. 2) dxdydz. 3) dydxdz. x +y 1 x2 +2 = 1 y
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