Question
The ratio of the radii of cylinders A and B is 2:3, and
the volume of cylinder B is 200% greater than that of cylinder A. Based on the information provided, which of the following can be determined? A) The ratio of the heights of cylinder A to cylinder B B) The curved surface area (CSA) of cylinder A C) The height of cylinder ASolution
Answer: A Volume of cylinder A = x Volume of cylinder B = 300/100 * x = 3x Radius of cylinder A = 2y Radius of cylinder B = 3y Height of cylinder A = a Height of cylinder B = b For cylinder A: x = (22/7) * (2y) * (2y) * a x = (88y²/7) * a => a = (7x/88y²) For cylinder B: 3x = (22/7) * (3y) * (3y) * b => b = (7x/66y²) A) The ratio of the heights is: a = (7x/88y²):(7x/66y²) = 3:4 (B) and (C) cannot be determined without knowing the values of x and y.
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