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
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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Step 1
Graph the situation using a graphing calculator.
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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