Question

A cylindrical package to be sent by a postal service can have a maximum combined length...

A cylindrical package to be sent by a postal service can have a maximum combined length and girth (perimeter of cross section) of 108 inches.

a) Find the dimensions of the package of maximum volume that can be sent. (The cross section is circular.)

b) What can r be in this problem? (What's the domain?) Find the optimal r and h exactly.

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