# Ratio of surface areas

Geometry Level 2

The total surface area and the curved surface area of a cylinder that is open at the top are in the ratio $$3:1$$. What is the ratio of the radius of the cylinder to that of the height?

If your answer is the form of $$a: b$$, where $$a$$ and $$b$$ are coprime positive integers, find $$a+b$$.

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