The volume of a cylinder of height 12 inches and radius r inches is given by the formula V Which is the correct expression for = 12πr² dV ? dt dV dr dh = 24πr- dt dt dt dV dr = 24πη dt dV = dt 0 dt dV 24πη dt dt dV dr = 12πr 2 dt dt Suppose that the radius is expanding at a rate of 0.6 inches per second. How fast is the volume changing when the radius is 2.9 inches? Use at least 5 decimal places in your answer.

College Algebra
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ISBN:9781337282291
Author:Ron Larson
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Chapter1: Equations, Inequalities, And Mathematical Modeling
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The volume of a cylinder of height 12 inches and radius
r inches is given by the formula V
Which is the correct expression for
=
12πr²
dV
?
dt
dV
dr dh
= 24πr-
dt
dt dt
dV
dr
=
24πη
dt
dV
=
dt
0
dt
dV
24πη
dt
dt
dV
dr
=
12πr
2
dt
dt
Suppose that the radius is expanding at a rate of 0.6
inches per second. How fast is the volume changing
when the radius is 2.9 inches? Use at least 5 decimal
places in your answer.
Transcribed Image Text:The volume of a cylinder of height 12 inches and radius r inches is given by the formula V Which is the correct expression for = 12πr² dV ? dt dV dr dh = 24πr- dt dt dt dV dr = 24πη dt dV = dt 0 dt dV 24πη dt dt dV dr = 12πr 2 dt dt Suppose that the radius is expanding at a rate of 0.6 inches per second. How fast is the volume changing when the radius is 2.9 inches? Use at least 5 decimal places in your answer.
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