Consider a closed storage tank S with walls given by the curved surfaces x = y', z > 0 and r = 2 – y?, z > 0, floor at z = 0, and roof is part of the plane x + 2y + 2z = 6. (a) Sketch S, clearly labelling any intercepts. (b) Find the area of the roof of the tank. (c) Write down an expression for the volume of the tank as a triple integral.

Consider a closed storage tank S with walls given by the curved surfaces x = y', z > 0 and r = 2 – y?, z > 0, floor at z = 0, and roof is part of the plane x + 2y + 2z = 6. (a) Sketch S, clearly labelling any intercepts. (b) Find the area of the roof of the tank. (c) Write down an expression for the volume of the tank as a triple integral.

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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