Answer: 382.98
Step-by-step explanation: The formula for surface area of a cone is A=pi r(r+ square root of h^2 + r^2). The diameter of this cone appears to be 12ft, so r=6 and h = 13. Substituting, we get A=pi 6(6+square root of 13^2+6^2. Solving, we get A =382.9819, rounded to 382.98.