Using disks or washers, find the volume of the kolid obtained by rotating the region bounded by the curves y = x4s, 3, x = 1, and y = 0 about the y-axis. Volume = Preview My Answers Submit Answers

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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Using disks or washers, find the volume of the kolid obtained by rotating the region bounded by the curves y = x4s,
3, x = 1, and y = 0 about the y-axis.
Volume =
Preview My Answers
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Transcribed Image Text:Using disks or washers, find the volume of the kolid obtained by rotating the region bounded by the curves y = x4s, 3, x = 1, and y = 0 about the y-axis. Volume = Preview My Answers Submit Answers
Expert Solution
Step 1

Graph the situation using a graphing calculator. 

Calculus homework question answer, step 1, image 1

The shaded region is rotating about the y-axis. 

 

Step 2

We will need Washer method for this. 

Outer radius= 1

Inner radius = x = y^(3/2) , where y goes from y=0 to y=1

[From y=x^(2/3) got x = y^(3/2)]

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