Answer:
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
