Answer:
4247.4 cm^2 after rounding to the nearest tenth
or 4247.43 cm^2 after rounding to the nearest hundredth
Explanation:
the surface area can be split into 3 parts, the top, bottom, and side
the top and bottom areas are pretty easy, it's just the area of a circle
A = pi*13^2, which is 169pi for one circle, or 338pi for two
now, imagine the middle being unwrapped into a rectangle. the height of this rectangle is 39cm, and the length is just the circumference of the top/bottom circle, which is 2*pi*13, or 26pi cm
area is base*height, so 1014pi
add the two parts up (1014pi+338pi) to get 1352 pi, or about 4247.433
round to the nearest tenth to get 4247.4 cm^2
round to the nearest hundreth to get 4247.43 cm^2