Use the known formulas for the volume V of a sphere of radius and for the volume V of the pyramid with the base of area A of height h to compute a) √9-(2-4)²-(y-5)²³ d.A where R is a planar domain described by the inequality (a − 4)² + (x − 5)² ≤9. Σ (b) Answer: ff. 15 15-3z-5ydA where R is a triangle in the positive octant z 20. y ≥ 0 in (z,y)-plane bounded by the line 5y + 3x = 15. Answer: Σ

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 9P: A soda can is made from 40 square inches of aluminum. Let x denote the radius of the top of the can,...
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Use the known formulas for the volume V of a sphere of radius r
4x
V=
and for the volume V of the pyramid with the base of area A of height h
to compute
(a) √9-(2-4)²-(y-5)² dA where R is a planar domain described by the inequality (♬² − 4)² + (y − 5)² ≤ 9.
(b)
Answer:
Σ
ff 15
15-3z-5ydA where R is a triangle in the positive octant z 20. y ≥ 0 in (z,y)-plane bounded by the line 5y + 3x = 15.
Answer:
Σ
Transcribed Image Text:Use the known formulas for the volume V of a sphere of radius r 4x V= and for the volume V of the pyramid with the base of area A of height h to compute (a) √9-(2-4)²-(y-5)² dA where R is a planar domain described by the inequality (♬² − 4)² + (y − 5)² ≤ 9. (b) Answer: Σ ff 15 15-3z-5ydA where R is a triangle in the positive octant z 20. y ≥ 0 in (z,y)-plane bounded by the line 5y + 3x = 15. Answer: Σ
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