## PROBLEM: Maximum Volume of a Cone

Click **here**
for a statement of the problem.

[Note: This use of the A.M.-G.M. inequality does **not** give us a function on the Right Hand Side of the inequality that is a **constant**. Therefore, even though we can find a value of x for which the two functions are tangent at that point, we can not argue that the function on the RHS is larger for all values of x.]

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