Derivatives Question
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The volume of a cone of radius r and height h is given by V=13πr2h. If the radius and the height both increase at a constant rate of 12 centimeters per second, at what rate (in cubic centimeters per second) is the volume increasing when the height is 9 and the radius is 6 centimeters?
- 12π
- 10π
- 24π
- 54π
- 108π