. Using either the disk/washer or cylindrical shell methods (you need not use both for the same solid), find the volume of the solid generated by revolving the region bounded by the curve y = √√x and the lines x = 4 and y = 0 about (a) The x-axis. (b) The y-axis. (c) The line y = 3. (d) The line x = 5.

. Using either the disk/washer or cylindrical shell methods (you need not use both for the same solid), find the volume of the solid generated by revolving the region bounded by the curve y = √√x and the lines x = 4 and y = 0 about (a) The x-axis. (b) The y-axis. (c) The line y = 3. (d) The line x = 5.

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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Question

1. Using either the disk/washer or cylindrical shell methods (you need not use
both for the same solid), find the volume of the solid generated by revolving the
region bounded by the curve y
= 0 about
(a) The x-axis. (b) The y-axis.
=
√x and the lines x = 4 and y
(c) The line y = 3.
(d) The line x =
= 5.

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Step 1: determine the given variables and calculate volume using disc method

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Step 2: calculate the volume using disc method about y axis

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Step 3: calculate the volume about the line y=3 using disc method

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