Math

If two cylinders are similar, find the scale factor of the smaller figure to the larger figure. The surface area of the smaller area is 20 pi yards squared. The surface area of the larger cylinder is 125 pi yards squared. No radius or height is given, and I need to find the scale factor. How do I set it up so that I can find the scale factor of the volumes?
Thanks!

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  1. area scales as the square of the ratio. So, the square of the ratio is (125/20) = 25/4. So, the ratio is 5/2

    Volume scales as the cube of the ratio, or 125/8

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  2. The two correct answers for this problem are: 6 pi :15pi and 2:5

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