OG详解-OG6 数学2 Q16

Choice A is correct. The volume, V, of a right circular cylinder is given by the formula V= πr²h, where πr² is the area of the base of the cylinder and h is the height. It’s given that a right circular cylinder has a volume of 432 cubic centimeters and the area of the base is 24 square centimeters. Substituting 432 for V and 24 for πr² in the formula V= πr² h yields 432 = 24h. Dividing both sides of this equation by 24 yields 18 = h. Therefore, the height of the cylinder, in centimeters, is 18.
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 centimeters, of a cylinder if its volume is 432 cubic centimeters and the area of its base is 2, not 24, cubic centimeters. Choice D is incorrect. This is the height, in centimeters, of a cylinder if its volume is 432 cubic centimeters and the area of its base is 1​24​ , not 24, cubic centimeters.