The volume V of a cylinder of height 4 cm and radius r is given by: = 4mr2 dV What is the relationship between and " ? (Hint: Differentiate both sides of V = 47r2 with respect to t.) AP dt 8Tr AP dt dt V 2 dr AP dt O dr V 4x dt AP A dt AP = 8ar r dr

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.6: Wind And Water Current Problems
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Question 1
The volume V of a cylinder of height 4 cm and radius r is given by:
V = 4772
rces
dV
dr
What is the relationship between
and
dt
dt
(Hint: Differentiate both sides of V =
4ar² with respect to t.)
AP
8Tr
dt
dr
= 8Tr
dt
dt
AP
O r =
V
AP
4n2 dr
dt
dt
dr
dt
V 4n dt
AP
= 8rr r
dr
Transcribed Image Text:Question 1 The volume V of a cylinder of height 4 cm and radius r is given by: V = 4772 rces dV dr What is the relationship between and dt dt (Hint: Differentiate both sides of V = 4ar² with respect to t.) AP 8Tr dt dr = 8Tr dt dt AP O r = V AP 4n2 dr dt dt dr dt V 4n dt AP = 8rr r dr
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