How to Maximize the Volume of a Buoy Made from Two Equal Circular Bases?

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Discussion Overview

The discussion revolves around the problem of maximizing the volume of a buoy constructed from two equal circular bases, specifically focusing on the geometric configuration involving cones. Participants explore the parameters involved in this construction and the mathematical implications of volume maximization.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant proposes that the radius of the base when the volume of the buoy is maximized is given by the formula r = (sqrt of 6) R/3.
  • Several participants express confusion regarding the problem statement and the construction of the buoy, with one seeking clarification on the geometric configuration.
  • There is a discussion about the definition of a buoy, with participants noting its purpose as a marker in water to prevent people from going too far.
  • One participant requests a diagram to better understand the problem, indicating that the lack of visual representation contributes to the confusion.

Areas of Agreement / Disagreement

Participants generally do not agree on the clarity of the problem, with multiple expressions of confusion and requests for further explanation. No consensus on the solution or understanding of the problem is reached.

Contextual Notes

Limitations include unclear assumptions about the buoy's construction and the lack of a visual aid to support understanding. The discussion also reflects varying levels of familiarity with the concepts involved.

leprofece
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From two places equal of radio circular R It wants to build a buoy consists of two equal bass common cones

Determine the radius of Ia base when the volume of the buoy is maximum.

r=(sqrt of 6) R/3
 
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Re: Max and min

I must confess I have little idea what you are asking. I am assuming a buoy is to be constructed by joining two cones at their bases, but other than that I have no idea what is going on.
 
Re: Max and min

MarkFL said:
I must confess I have little idea what you are asking. I am assuming a buoy is to be constructed by joining two cones at their bases, but other than that I have no idea what is going on.

well, what you said is the main idea
a buoy is something put ond the water on beaches as a limit so that people can not go further if they do not do that they can die
 
Re: Max and min

leprofece said:
well, what you said is the main idea
a buoy is something put ond the water on beaches as a limit so that people can not go further if they do not do that they can die

Yes, I understand that a buoy is used as a marker on the water, but it is the problem I don't understand. Can you provide a diagram?
 
Re: Max and min

from two pieces that are the same i mean equal of radius R , from these i want to built the buoy
there is no graph in my book
ahhh. the pieces are circular both
 

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