The volume of a cylinder of height 9 inches and radius r inches is given by the formula V = 9πr². Which is the correct expression for dV ? dt о dV dt dV dt = =U 18πr dr 9r2. dt dr dh dt dt dV dr = 18πr- dt dt dV 18πT === dt dt dV dt 0 о о 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 2.6 inches? Use at least 5 decimal places in your answer. о answer: cubic inches per second

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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Question
The volume of a cylinder of height 9 inches and radius r inches is given by the formula V = 9πr².
Which is the correct expression for
dV
?
dt
о
dV
dt
dV
dt
=
=U 18πr
dr
9r2.
dt
dr dh
dt dt
dV
dr
= 18πr-
dt
dt
dV
18πT
===
dt
dt
dV
dt
0
о
о
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 2.6 inches? Use at least
5 decimal places in your answer.
о
answer:
cubic inches per second
Transcribed Image Text:The volume of a cylinder of height 9 inches and radius r inches is given by the formula V = 9πr². Which is the correct expression for dV ? dt о dV dt dV dt = =U 18πr dr 9r2. dt dr dh dt dt dV dr = 18πr- dt dt dV 18πT === dt dt dV dt 0 о о 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 2.6 inches? Use at least 5 decimal places in your answer. о answer: cubic inches per second
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