![\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}](https://img.qammunity.org/2022/formulas/french/high-school/negq99jusna1ehva7y5ewiukqceugxhjmo.png)
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,
![l \: = \sqrt{ {r}^(2) + {h}^(2) }](https://img.qammunity.org/2022/formulas/mathematics/high-school/xsszewk1drav6u757ilq6jkvsqcuuaw6lr.png)
here, r = 8 cm and h = 15,
hence,
![l \: = √(64 + 225) = √(289) = 17cm](https://img.qammunity.org/2022/formulas/mathematics/high-school/ykv50vyuz0k4bmho3rz5qd88n3bmyl5n2g.png)
hence, now we apply the formula,
AL = π(8) (17) cm^2
===> AL = 136 π cm^2