Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = x, y = Vx; about x = 4 4л 15

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 volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.
y = x, y = Vx; about x = 4
4л
15
Transcribed Image Text:Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = x, y = Vx; about x = 4 4л 15
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Step 2

Shaded region

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Step 3

Apply washer method about the y-axis,

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