Please answer this question ! Thank u 15 POINTS !!

287

Step-by-step explanation:

The lateral surface area of a cone is r*pi*l, where l is the slant height. This is much like the formula of a square pyramid, which is a good way to understand this formula. But that aside, Lets plug in some values:

We know the diameter is 12 so r = 6.

Now lets find the slant height. We can draw a right triangle using the height, radius, and slant height. So we get, sqrt(6^2 + 14^2 ) = l, by Pythagorean's theorem. Therefore, l = sqrt(232) which is roughly 15.23

So we have 6*pi*15.23 which is roughly 287

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