Answer:
A = 2 pi R^2 + 2 pi R h total surface area
R^2 = 48 2 pi R = 8 * 6^1.2 given
56 pi 6^1/2 - 2 pi R^2 = 2 pi R h f rom first formula
28 * 6^1/2 / R - R = h divide by 2 pi r
28 * 6^1/2 / R = 28 * 6^1/2 / (4 3^1/2) = 7 * 2^1/2
h = 7 * 2^1/2 - 4 * 3^1/2