[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
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,
[tex]l \: = \sqrt{ {r}^{2} + {h}^{2} } [/tex]
here, r = 8 cm and h = 15,
hence,
[tex]l \: = \sqrt{64 + 225} = \sqrt{289} = 17cm[/tex]
hence, now we apply the formula,
AL = π(8) (17) cm^2
===> AL = 136 π cm^2
