Party Hats

Geometry Level 3

The proportions of the colored sections relative to the whole circle are \(\dfrac{1}{2}\) for red, \(\dfrac{1}{3}\) for pink, and \(\dfrac{1}{6}\) for yellow, as shown above.

If each section is rolled to make a conic party hat by attaching the edges together (without cutting or overlapping any area), which party hat will be the tallest?

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