. The radius of a right circular cylinder increases at the rate of 0.1 cm/sec, and the height decreases at the rate of 0.2 cm/min. What is the rate of change of the volume of the cylinder, in cm³/sec, when the radius is 2 cm and the volume is 12 cm³/sec?

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The radius of a right circular cylinder increases at the rate of 0.1 cm/sec,
and the height decreases at the rate of 0.2 cm/min. What is the rate of
change of the volume of the cylinder, in cm³/sec, when the radius is 2 cm and
the volume is 12 cm³/sec?
Transcribed Image Text:. The radius of a right circular cylinder increases at the rate of 0.1 cm/sec, and the height decreases at the rate of 0.2 cm/min. What is the rate of change of the volume of the cylinder, in cm³/sec, when the radius is 2 cm and the volume is 12 cm³/sec?
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