Step-by-step explanation:
Total surface area of a cone is given by the expression,
SA = πrl + B
Here, r = Radius of the circular base
l = slant height
B = Surface area of the base
Surface area of the circular base = πr²
                            = π(5)²
                            = 25π cm²
Slant height 'AC' =
              =
              =
              =  13 cm
Substitute the values in the expression of surface area,
SA = π(5)(13) + 25π
   = 65π + 25π
   = 90π cm²
Therefore, SA = 90π cm² will be the answer.