SOLUTION: Two similar cones have a scale factor of 3:10. The smaller cone has a surface area of 54cm2..Find the surface area of larger cone. If required round upto 3rd decimal.

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Question 1155774: Two similar cones have a scale factor of 3:10. The smaller cone has a surface area of 54cm2..Find the surface area of larger cone. If required round upto 3rd decimal.
Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
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If the ratio of linear dimensions of similar shapes is 3:10, then the ratio of their surface areas is the SQUARE of this ratio, i.e. 9:100.


Therefore, you can write this proportion


   54%2Fx = 9%2F100.


From this proportion, find x.