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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