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asked Oct 26, 2022 146k views

1 Answer

Trung Nguyen · Answer 1 · 2022-10-30T08:34:23+0000

$\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}$

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,

$l \: = \sqrt{ {r}^(2) + {h}^(2) }$

here, r = 8 cm and h = 15,

hence,

$l \: = √(64 + 225) = √(289) = 17cm$

hence, now we apply the formula,

AL = π(8) (17) cm^2

===> AL = 136 π cm^2