# Postal regulations specify that a package sent by a certain shipping method may have a combined length and girth of no more than 96 in. Find the dimensions of a cylindrical package with the greatest volume that may be sent by this shipping method. Hint: The length plus the girth is 2πr + l. (Round your answers to three decimal places.)

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Postal regulations specify that a package sent by a certain shipping method may have a combined length and girth of no more than 96 in. Find the dimensions of a cylindrical package with the greatest volume that may be sent by this shipping method. Hint: The length plus the girth is 2πr + l. (Round your answers to three decimal places.)

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Step 1

Given, combined length and girth of no more than 96 in.

Assume, the length of cylindrical package is l and radius is r.

The combined length and girth is given by

Step 2

According to question,

Step 3

Volume of cylindrical pa...

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