Sorry if this explanation is confusing, the attachment should explain it better.

- Thread starter dylanbui
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Sorry if this explanation is confusing, the attachment should explain it better.

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Then you can consider what happens when n changes.

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Yes, that is my goal. I am trying to find an equation that gives the optimal height and side for a given n.

Then you can consider what happens when n changes.

I am a bit confused about n being fixed.

I have expressed V as a function of s and n.

I am not sure what you mean about being inscribed in a circle, but d can vary based on n and s.

It is the surface area that equals 100, so S=100

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Find the optimal volume with n=3, then with n=4, and so on. Most of the work will be done in the general case (leaving n as a variable, but treating it as a constant).Yes, that is my goal. I am trying to find an equation that gives the optimal height and side for a given n.

I am a bit confused about n being fixed.

I have expressed V as a function of s and n.