The volume of the solid obtained by rotating the region bounded by x = 3y', y = 1, x = 0,

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 41E: Find the exact lateral area of each solid in Exercise 40. Find the exact volume of the solid formed...
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The volume of the solid obtained by rotating the region bounded by
x = 3y?, y = 1, x = 0,
about the y-axis can be computed using the method of disks via an integral
qu
V =
?
with limits of integration a =
and b =
The volume of this solid can also be computed using cylindrical shells via an integral
v -L
V =
?
with limits of integration a =
and B =
In either case, the volume is V =
cubic units.
%3|
>
Transcribed Image Text:The volume of the solid obtained by rotating the region bounded by x = 3y?, y = 1, x = 0, about the y-axis can be computed using the method of disks via an integral qu V = ? with limits of integration a = and b = The volume of this solid can also be computed using cylindrical shells via an integral v -L V = ? with limits of integration a = and B = In either case, the volume is V = cubic units. %3| >
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