)In this problem, you will find the volume of the solid generated by revolving the region bounded by the curves y = x², y = 36, and x = 1, about the y-axis via two methods: Using the Shell Method, the volume is expressed as an integral of the form V = a with limits of integration a = and b = Using the Washer Method, the volume is expressed as an integral of the form V = with limits of integration a = and B = The volume of the solid is V = cubic units.

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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) In this problem, you will find the volume of the solid generated by revolving the region bounded by the curves
y = x², y = 36, and x = 1,
about the y-axis via two methods:
Using the Shell Method, the volume is expressed as an integral of the form
V =
?
a
with limits of integration a =
and b =
Using the Washer Method, the volume is expressed as an integral of the form
V =
?
with limits of integration a =
and ß =
The volume of the solid is V =
cubic units.
Transcribed Image Text:) In this problem, you will find the volume of the solid generated by revolving the region bounded by the curves y = x², y = 36, and x = 1, about the y-axis via two methods: Using the Shell Method, the volume is expressed as an integral of the form V = ? a with limits of integration a = and b = Using the Washer Method, the volume is expressed as an integral of the form V = ? with limits of integration a = and ß = The volume of the solid is V = cubic units.
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