Find the height of the cylinder. I. The Curved surface area of the cylinder is 396 cm² and the total surface area of the cylinder is 1628 cm². II. The radius of the cylinder is 0.5 cm more than the 3 times of the height of the cylinder.

From Statement I: Curved Surface Area (CSA) = 2πrh = 396, and Total Surface Area (TSA) = 2πr(r+h) = 1628. Since TSA = CSA + 2πr², we get 1628 = 396 + 2πr², giving 2πr² = 1232. This allows finding r. With r known, CSA = 2πrh = 396 gives h = 396/(2πr). Statement I alone is sufficient. Statement II relates r and h but gives no numerical values, making it insufficient alone. Option A is correct.