Given that the height of the cylinder is 6 cm and is growing at a rate of 5 cm/s, while the radius is 12 cm and is decreasing at the rate of 4 cm/s. Based on the problem, which of the following information is correct to find the rate of change of the volume. [Volume of cylinder. V = tr*h] %3D av = 1447, =144 T av =-5767, av = 720 %3D %3D - dr = 5, dt dr dh dh -4, dt %3D %3D %3D dt dt ....* ... ......*. av =-576, Or = 1447. or =D144 ch 720 %3D %3D dr = 4, dt dh = -5 dt = 5. -4 %3D

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 33CT
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Question
Given that the height of the cylinder is 6 cm and is growing at a rate of 5
cm/s, while the radius is 12 cm and is decreasing at the rate of 4 cm/s. Based
on the problem, which of the following information is correct to find the rate
of change of the volume. [Volume of cylinder: V = rr*h]
av
= 1447,
Or
av
= 7207
ah
=144 T
=-5767,
dr
= 5,
dt
dh
=-4
dt
dr
-4,
dt
dh
= 5
dt
av
= 720
= 144 7.
=144
-576,
Or
dh
av
= 5,
dr
= 4,
dt
= -5
dt
-4
956 AM
07-Feb-22
17C Rain showers
Transcribed Image Text:Given that the height of the cylinder is 6 cm and is growing at a rate of 5 cm/s, while the radius is 12 cm and is decreasing at the rate of 4 cm/s. Based on the problem, which of the following information is correct to find the rate of change of the volume. [Volume of cylinder: V = rr*h] av = 1447, Or av = 7207 ah =144 T =-5767, dr = 5, dt dh =-4 dt dr -4, dt dh = 5 dt av = 720 = 144 7. =144 -576, Or dh av = 5, dr = 4, dt = -5 dt -4 956 AM 07-Feb-22 17C Rain showers
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