SOLUTION: If you triple all dimensions of a cone, will the surface area triple?Thanks!

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Question 261414: If you triple all dimensions of a cone, will the surface area triple?Thanks!
Answer by ankor@dixie-net.com(15746) About Me  (Show Source):
You can put this solution on YOUR website!
If you triple all dimensions of a cone, will the surface area triple:
:
Let's see using the surface area equation:
%28pi%2A%283r%29%5E2%29%2B%28pi%2A%283r%29%2A%283L%29%29
---------------------- =
%28pi%2Ar%5E2%29%2B%28pi%2Ar%2AL%29
:
%28pi%2A9r%5E2%29%2B%28pi%2A9rL%29%29
---------------------- =
%28pi%2Ar%5E2%29%2B%28pi%2Ar%2AL%29
:
Factor out 9 in the denominator
9(%28pi%2Ar%5E2%29%2B%28pi%2Ar%2AL%29%29)
---------------------- =
%28pi%2Ar%5E2%29%2B%28pi%2Ar%2AL%29
Cancel out the rest of it,
you end up with 9 times the surface area if you triple the dimensions