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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