A potter forms a piece of clay into a right circular cylinder. As she rolls it, the height h of the cylinder increases and the radius r decreases. Assume that no clay is lost in the process. Suppose the height of the cylinder is increasing by 0.2 centimeters per second. What is the rate at which the radius is changing when the radius is 3 centimeters and the height is 9 centimeters?
A potter forms a piece of clay into a right circular cylinder. As she rolls it, the height h of the cylinder increases and the radius r decreases. Assume that no clay is lost in the process. Suppose the height of the cylinder is increasing by 0.2 centimeters per second. What is the rate at which the radius is changing when the radius is 3 centimeters and the height is 9 centimeters?
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 45SE: A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the...
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-2.7
cm
-0.05 cm/s
54
S
A potter forms a piece of clay into a right circular cylinder. As she rolls it, the height h of the cylinder
increases and the radius r decreases. Assume that no clay is lost in the process. Suppose the height of
the cylinder is increasing by 0.2 centimeters per second. What is the rate at which the radius is
changing when the radius is 3 centimeters and the height is 9 centimeters?
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