The radius r and height h of a cylinder are changing with time. At the instant in question, r = 4 cm, h = 5 cm, dr/dt = 0.01 cm/sec and dh/dt = -0.01 cm/sec. At what rate is the cylinder's volume changing at that instant?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
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The radius r and height h of a cylinder are changing with time. At the instant in question, r = 4 cm, h = 5 cm, dr/dt = 0.01 cm/sec and
dh/dt = -0.01 cm/sec. At what rate is the cylinder's volume changing at that instant?
Transcribed Image Text:The radius r and height h of a cylinder are changing with time. At the instant in question, r = 4 cm, h = 5 cm, dr/dt = 0.01 cm/sec and dh/dt = -0.01 cm/sec. At what rate is the cylinder's volume changing at that instant?
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