What is the max volume given certain restrictions?

Thread starter APool555
Start date Oct 2, 2005
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Max Volume

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To determine the maximum volume given the constraints of a maximum length of 42 inches and a combined maximum of length and girth of 79 inches, one must first define girth in relation to the shape being analyzed. The girth can be calculated as the circumference of the object, which, when added to the length, must not exceed 79 inches. This leads to the equation: girth = 79 - length. Using these parameters, the volume can be maximized by substituting the girth into the volume formula for the specific shape being considered. Understanding these relationships is crucial for solving the problem effectively.

Oct 2, 2005

APool555

I can't believe I can't even set this problem up. Maybe the girth is bothering me and I can not see something. Anyways I need to find the max volume with these restrictions:
Max Length = 42 in.
Max Length + Girth = 79 in

Thanks for your help.

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Oct 2, 2005

hotvette

Homework Helper

This might help.

http://www.answers.com/topic/girth

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