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Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the curves Xx = Vy,x = 0, and y = 1 about the X- axis. Volume

Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the curves Xx = Vy,x = 0, and y = 1 about the X- axis. Volume

Elementary Geometry For College Students, 7e
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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Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the curves Xx = Vy,x = 0, and y = 1 about the X- axis. Volume
Transcribed Image Text:Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the curves Xx = Vy,x = 0, and y = 1 about the X- axis. Volume
Expert Solution
Step 1

We know that,

The volume of the solid obtained by rotating the region bounded A(y) between y = a and y = b about x – axis is by the curve x = given by = | 2nyA(y) dy
Step 2

The region mentioned in the question can be drawn as

у — ахis 1.5- х%3D у y = 1 0.5- х — ахis 0.5 15
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