The volume V of a right circular cylinder of radius r and height h is V = Tr²h. (a) How is dY related to if h is constant and r varies with time? (Enter as dr/dt.) dV dt (b) How is related to dV dh dt if r is constant and h varies with time? (Enter as dh/dt.) dt vary with time? (c) How is related to dh and dr if both h and r dt dV dt

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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The volume V of a right circular cylinder of radius r and height h is V = ar²h.
(a) How is related to if h is constant and r varies with time? (Enter as dr/dt.)
dV
dt
dV
(b) How is related to h if r is constant and h varies with time? (Enter as dh/dt.)
dV
dt
(c) How is dV related to dh and dr if both h and r vary with time?
AP
dV
dt
Transcribed Image Text:The volume V of a right circular cylinder of radius r and height h is V = ar²h. (a) How is related to if h is constant and r varies with time? (Enter as dr/dt.) dV dt dV (b) How is related to h if r is constant and h varies with time? (Enter as dh/dt.) dV dt (c) How is dV related to dh and dr if both h and r vary with time? AP dV dt
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