
Actually Welcome to the Concept of the Surface areas and Volumes.
Since, we know that the lateral area of a Right circular cone is given as,
AL = πrl
here, l = slant height , r = radius of the circular base.
so now, we have to find first slant height to get the lateral surface area,

here, r = 8 cm and h = 15,
hence,

hence, now we apply the formula,
AL = π(8) (17) cm^2
===> AL = 136 π cm^2