6. [s] Set up only a triple integral that will give the following: (a) the volume of R using cylindrical coordinates where R: 0 ≤ x ≤ 1,0 ≤ y ≤ √1-2², 0≤x≤ √4- (x² + y²). Draw the solid R. 2= (b) the volume of the solid B that lies above the cone z = √² + y² and below the sphere 2² + y² +2²= 2az, where a > 0, using spherical coordinates. Draw the solid B

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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6.
[s] Set up only a triple integral that will give the following:
(a) the volume of R using cylindrical coordinates where R: 0 ≤ x ≤ 1,0 ≤ y ≤
√1-2², 0≤x≤ √√√4-(x² + y2). Draw the solid R.
2=
(b) the volume of the solid B that lies above the cone z = √² + y² and below the sphere
2² + y² +2²= 2az, where a > 0, using spherical coordinates. Draw the solid B
Transcribed Image Text:6. [s] Set up only a triple integral that will give the following: (a) the volume of R using cylindrical coordinates where R: 0 ≤ x ≤ 1,0 ≤ y ≤ √1-2², 0≤x≤ √√√4-(x² + y2). Draw the solid R. 2= (b) the volume of the solid B that lies above the cone z = √² + y² and below the sphere 2² + y² +2²= 2az, where a > 0, using spherical coordinates. Draw the solid B
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