# Solar Cooker, Anyone?

Geometry Level 4

Jimmy wants to build a parabolic solar cooker for his culinary project. It is 6 meters in diameter and the distance between the bottom of his solar cooker to the edge of the cooker is 5 meters.

At what height from the bottom of the bowl should he put his food in order to maximize the cooking temperature?

If the height, in meters, is expressible in the form $$\dfrac{a}{b}$$, where $$a$$ and $$b$$ are coprime positive integers, find $$a+b$$.

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