(10 points) The volume V of a right circular cylinder of radius r and height h is V nT h. %3D (a) How is AP related to dr if h dt is constant andr varies with time? (Enter dr as dr/dt.) dt dt dV dt AP related to up as dh/dt.) dh (b) How is if r is constant and h varies with time? (Enter dt dt dt dV dt (C) How is dV AP related to dh and dt if both h and r vary with time? dt dt

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
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(10 points) The volume V of a right circular cylinder of radius r and height h is V T h.
dr
related to
dt
dr
(a) How is
dV
if h is constant and r varies with time? (Enter
dt
as dr/dt.)
dt
dt
dV
related to
dt
dh
dh
(b) How is
if r is constant and h varies with time? (Enter
dt
as dh/dt.)
dt
AP
dt
dh
and
dt
dr
(c) How is
AP
related to
if both h and r vary with time?
dt
dt
AP
dt
Transcribed Image Text:(10 points) The volume V of a right circular cylinder of radius r and height h is V T h. dr related to dt dr (a) How is dV if h is constant and r varies with time? (Enter dt as dr/dt.) dt dt dV related to dt dh dh (b) How is if r is constant and h varies with time? (Enter dt as dh/dt.) dt AP dt dh and dt dr (c) How is AP related to if both h and r vary with time? dt dt AP dt
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