(a) How is related to dV dt (b) How is dV dt 11 The volume V of a right circular cylinder of radius r and height his V = är² h. dV dt (c) How dV dt II is dV dt dV dt related to related to dr if h is constant and r varies with time? (Enter as dr/dt.) dt dr dt dh if r is constant and h varies with time? (Enter as dh/dt.) dt dh dt anddrif both h and r vary with time? dt dh dt

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(a) How is
dV
dt
=
The volume V of a right circular cylinder of radius r and height h is V = лr² h.
dr
dV
dt
if h is constant and r varies with time? (Enter dr as dr/dt.)
dt
dt
(b) How is
dV
dt
=
(c) How is
dV
dt
dV
dt
dV
dt
related to
related to
related to
dh
if r is constant and h varies with time? (Enter as dh/dt.)
dt
dh
dt
dh
dt
and if both h and r vary with time?
dt
Transcribed Image Text:(a) How is dV dt = The volume V of a right circular cylinder of radius r and height h is V = лr² h. dr dV dt if h is constant and r varies with time? (Enter dr as dr/dt.) dt dt (b) How is dV dt = (c) How is dV dt dV dt dV dt related to related to related to dh if r is constant and h varies with time? (Enter as dh/dt.) dt dh dt dh dt and if both h and r vary with time? dt
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