Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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Related questions

Question
The volume of a cylinder of height 11 inches and radius r inches is given by the
formula V
11πr?.
dV
Which is the correct expression for
:?
dt
dV
22πη
dt
dt
dV
dr
= 11Tr?.
dt
dt
dV
dr dh
22Tr
dt
dt dt
dV
dr
= 22Tr-
dt
dt
dV
dt
Suppose that the radius is expanding at a rate of 0.8 inches per second. How fast is the
volume changing when the radius is 2.2 inches? Use at least 5 decimal places in your
answer.
answer:
cubic inches per second
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Transcribed Image Text:The volume of a cylinder of height 11 inches and radius r inches is given by the formula V 11πr?. dV Which is the correct expression for :? dt dV 22πη dt dt dV dr = 11Tr?. dt dt dV dr dh 22Tr dt dt dt dV dr = 22Tr- dt dt dV dt Suppose that the radius is expanding at a rate of 0.8 inches per second. How fast is the volume changing when the radius is 2.2 inches? Use at least 5 decimal places in your answer. answer: cubic inches per second
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