The volume of a cone of radius r and height h is 1 given by V=-arh. If the radius and the height 3 1 both increase at a constant rate of centimeter 2 per second, at what rate, in cubic centimeters per second, is the volume increasing when the height is 9 centimeters and the radius is 6 centimeters? All students should be able to calculate the volume of a cone when given its perpendicular height using the formula. Most students should be able to calculate the volume of a cone using Pythagoras’ Theorem to calculate the perpendicular height.
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