Solv. Calculus Problems: Max Vol, US Mail Stipulations

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Homework Help Overview

The discussion revolves around calculus problems related to maximizing the volume of a cylindrical box and a box constrained by postal regulations. The original poster presents two specific problems involving geometric dimensions and volume optimization.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to solve problems involving volume maximization under specific constraints, seeking validation of their answers. Other participants engage in a light-hearted discussion about tying ribbon, which diverges from the mathematical focus.

Discussion Status

The discussion includes an affirmation from one participant regarding the correctness of the original poster's answers, though no detailed verification or critique of the calculations has been provided. The conversation remains open, with the original poster willing to share their steps if needed.

Contextual Notes

The original poster mentions specific constraints related to the length of ribbon and postal service regulations, which are central to the problems being discussed. There is an indication that further clarification or exploration of the original poster's reasoning may occur if their answers are deemed incorrect.

rain
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I have some calculus problems that I don't know if I did it right.

1)A cylindrical box will be tied up with ribbon. The longest piece of ribbon available is 130cm long, and 10cm of that are required for the bow. Find the radius and height of the box with the largest possible volume.
-my answer is h=10cm and r=10cm

2)The U.S. Postal Service stipulates that any boxes sent through the mail must have a length plus girth totaling no more than 108in. Find the dimensions of the box with maximum volume that can be sent through the U.S. mail, assuming that the width and the height of the box are equal.
-my answer is width/height=18in and length=36in

Please check my answer if I got it right, if not, I'll post my steps for you guys to check. Thanks in advance.
 
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How do you tie the ribbon?
 
hm...like you would tie a birthday cake...a cross on top and bottom, 4 strips on the side...do you get what I mean?
 
Everything looks right.
 
thanks a lot. people are nice in here.
 

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