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April 18, 2014

April 18, 2014

Posted by **Tyler** on Tuesday, November 28, 2006 at 1:58pm.

There are an infinite number of solutions to this. Did you mean the right cylinder with the max volume? Or surface area?

If it is the right cylinder of max volume. Consider this.

The height and radius of the cylinder are related:

h= 10 - 10r/6

Volume cylinder = PI * r^2 * h

= PI*r^3 *(10 - 10r/6 )

Take the derivatative, set to zero . and solve.

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