Volume of Solid of Revolution Find the volume of the solid generated when the area bounded by the curves y = 2√x and y = x is revolved around the y-axis. 1. Points of intersection: 2. Vertical or horizontal strip? 3. Lower limit of integration: a = 4. Upper limit of integration: b = 5. Set up the definite integral for the volume of the solid of revolution. 6. Solve for the volume. 10 A

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...
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B. Volume of Solid of Revolution
Find the volume of the solid generated when the area bounded by the
curves y = 2√x and y = x is revolved around the y-axis.
1. Points of intersection:
2. Vertical or horizontal strip?
3. Lower limit of integration: a =
4. Upper limit of integration: b =
5. Set up the definite integral for the volume of the solid of revolution.
6. Solve for the volume.
9
Transcribed Image Text:B. Volume of Solid of Revolution Find the volume of the solid generated when the area bounded by the curves y = 2√x and y = x is revolved around the y-axis. 1. Points of intersection: 2. Vertical or horizontal strip? 3. Lower limit of integration: a = 4. Upper limit of integration: b = 5. Set up the definite integral for the volume of the solid of revolution. 6. Solve for the volume. 9
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