



 
Hi Conlan, I drew a diagram of your cone with height h cm and r cm as the radius of the base. The volume of the cone in cubic centimeters is given by \[V = \frac13 \pi\; r^2 h.\] To complete the setup of this problem you need an equation relating $r$ and $h$ which you can use to eliminate $r$ from the equation for $V$ and allow you to use the calculus you know to maximize $V.$ What does Pythagoras Theorem tell you about the triangle ABC? Penny  


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