The lateral surface area of a cone is changing at the rate of 6 cm2/sec, where S = tr Vr? + h². Let h = 2r. What is the change in the radius when r = 2? dr 3 c m/s dt 2/5 T dr 27 c m/s 2 Tt dt dr 3 c m/s 8 Tt dt dr 3 c m/s dt
The lateral surface area of a cone is changing at the rate of 6 cm2/sec, where S = tr Vr? + h². Let h = 2r. What is the change in the radius when r = 2? dr 3 c m/s dt 2/5 T dr 27 c m/s 2 Tt dt dr 3 c m/s 8 Tt dt dr 3 c m/s dt
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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
Transcribed Image Text:The lateral surface area of a cone is changing at the rate of 6 cm?/sec, where S
= Tr Vr² + h². Let h = 2r.
%3D
What is the change in the radius when r = 2?
dr
3
c m/s
dt
dr
뉴cm/s
dt
dr
3
c m/s
dt
dr
3
급cm/s
dt
4 T
||
II

Transcribed Image Text:A cylinder is being filled such that the height of the contents is increasing at a rate of 2 cm/sec.
What is the rate of change of the volume if r =2 and V = rr?h?
%3D
d V
= 2 n cm³/s
dt
= 9n cm³/s
dt
d V
d V
=18π cm*/s
dt
= 8T cm³/s
dt
d V
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