The radius r and lateral surface area A of a right circular cylinder change at the rates of = 1 cm/sec and 4 = -2 cm²/sec. Find the rate of dt dt dh change of the height h of the cylinder when r= 2 cm and h = 1 cm. dt

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 6E: Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a...
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4. The radius r and lateral surface area A of a right
circular cylinder change at the rates of = 1
dA
cm/sec and = -2 cm³/sec. Find the rate of
dt
dh
change of the height h of the cylinder when
dt
r= 2 cm and h =1 cm.
Transcribed Image Text:4. The radius r and lateral surface area A of a right circular cylinder change at the rates of = 1 dA cm/sec and = -2 cm³/sec. Find the rate of dt dh change of the height h of the cylinder when dt r= 2 cm and h =1 cm.
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