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336pi.
use Pythagorean thm. and get 17 for the length of the side, multiply by the circumfrence then add the area of the circle
well, the area of the bottom of the cone is easy to get, its: \[Area = \pi r^{3} = \pi (8)^{2} = 64\pi\] But now we have to get the lateral surface area which needs the slant height. Gotta use pythagorean theorem to get the slant height.\[l^{2} = 15^{2}+8^{2} \Rightarrow l^{2} = 289 \Rightarrow l = 17\] Now we use the formula lateral surface area is: \[\pi rl = \pi (8)(17) = 136 \pi \] Now we just add them up: \[136\pi + 64\pi = 200\pi\]
SA = pi*r^2 + pi*r*slant_height SA = 64pi + 8*17pi SA = 64pi + 136pi SA = 200pi
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