We seek to maximize the volume of a cylinder, V = πr²h, but its radius and height sum to one, i.e. r + h = 1. Which of the following is the corresponding single-variable volume function in terms of r? V(r) = 1 − r OV - ○V (r) = πr² = πr³ - OV ○V (r) = πr² + πr³ Прв πρ OV (r) = 2πr³

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
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We seek to maximize the volume of a cylinder, V = πr²h, but its radius and
height sum to one, i.e. r + h = 1. Which of the following is the corresponding
single-variable volume function in terms of r?
V(r) = 1 − r
OV
-
○V (r) = πr² = πr³
-
OV
○V (r) = πr² + πr³
Прв
πρ
OV (r) = 2πr³
Transcribed Image Text:We seek to maximize the volume of a cylinder, V = πr²h, but its radius and height sum to one, i.e. r + h = 1. Which of the following is the corresponding single-variable volume function in terms of r? V(r) = 1 − r OV - ○V (r) = πr² = πr³ - OV ○V (r) = πr² + πr³ Прв πρ OV (r) = 2πr³
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