# Sugar Quest

Geometry Level 3

An ant is trying to get over the top of a Coke can from the starting point $$A$$. Its helical red trail is constant in slope and angle before reaching the top edge at point $$B$$, which is directly above point $$A$$.

If the can has a radius of $$4\text{ cm}$$. and is $$6\pi \text{ cm}$$. high, what is the total distance the ant has traveled? If your answer is in a form of $$C\times\pi\text{ cm}$$, submit $$C$$ as your answer.

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