Answer:
Area of the "side" =
pi * ( sum of the top and bottom radii) * sqrt [ ( diffrence of radii)^2 + height^2 ] =
pi * ( 10 + 4 ) * sqrt [ (10 - 4)^2 + 8^2 ] =
pi * (14) * sqrt [ 100] =
pi * 14 * 10 =
140 pi cm^2
Area of top/bottom = pi [ 10^2 + 4^2] = 116 pi cm^2
So....the total surface area is [ 140 + 116] pi cm^2 = 256 pi cm^2
Explanation: