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Choice A is correct. The volume, V, of a right circular cylinder is given by the =r 2 r 2 formula V r h, where r is the area of the base of the cylinder and h is the 432 height. It’s given that a right circular cylinder has a volume of cubic 24 432 centimeters and the area of the base is square centimeters. Substituting 24 r 2 =r 2 432=24 for V and for r in the formula V r h yields h. Dividing both sides 24 18= of this equation by yields h. Therefore, the height of the cylinder, in 18 centimeters, is . Choice B is incorrect. This is the area of the base, in square centimeters, not the height, in centimeters, of the cylinder. Choice C is incorrect. This is the height, in 432 centimeters, of a cylinder if its volume is cubic centimeters and the area of its 24 base is 2, not , cubic centimeters. Choice D is incorrect. This is the height, in 432 centimeters, of a cylinder if its volume is cubic centimeters and the area of its 1 24 base is 24, not , cubic centimeters.