SOLUTION: What is the surface are of a cone with diameter 28 cm and height 22 cm in terms of Pi?

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Question 736685: What is the surface are of a cone with diameter 28 cm and height 22 cm in terms of Pi?
Answer by ohtheirony(35) About Me  (Show Source):
You can put this solution on YOUR website!
The formula for surface area of a cone is %28pi%29%28r%5E2%29%2B%28pi%29%28r%29%28L%29, where r is the radius and L is the slant height. Basically, you are finding the area of the circular base and the area of the lateral face. The diameter is twice the radius, so if we divide 28 by 2, we get 14 cm. If we set up our equation...

%28pi%29%2814%5E2%29%2B%28pi%29%2814%29%2822%29
%28pi%29%28196%29%2B%28pi%29%28308%29
196pi%2B308pi
504pi
So 504picm%5E2 is your answer.