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Mathematics 18 Online
OpenStudy (anonymous):

attached question, answerer(s) get medals!

OpenStudy (anonymous):

OpenStudy (anonymous):

336pi.

OpenStudy (anonymous):

use Pythagorean thm. and get 17 for the length of the side, multiply by the circumfrence then add the area of the circle

OpenStudy (anonymous):

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: \[136\pi + 64\pi = 200\pi\]

OpenStudy (dumbcow):

SA = pi*r^2 + pi*r*slant_height SA = 64pi + 8*17pi SA = 64pi + 136pi SA = 200pi

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