(a) The total surface area of an open cylinder is 27 cm³ given that radius, rcm. i. Show that the volume of the cylinder, V cm', is given by V = 77 (27-²) 2 II. Find the maximum volume of the cylinder.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
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ChapterA: Appendix
SectionA.2: Geometric Constructions
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(a)
The total surface area of an open cylinder is 27 cm¹ given that radius, r cm.
i. Show that the volume of the cylinder, V cm', is given by
zr
V =
-(27-r²)
Find the maximum volume of the cylinder.
Transcribed Image Text:(a) The total surface area of an open cylinder is 27 cm¹ given that radius, r cm. i. Show that the volume of the cylinder, V cm', is given by zr V = -(27-r²) Find the maximum volume of the cylinder.
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