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

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The discussion focuses on constructing a buoy from two equal circular bases in the shape of cones. The goal is to determine the radius of the base that maximizes the buoy's volume, with a formula suggesting r = (sqrt of 6) R/3 for maximum volume. Participants express confusion about the problem's specifics and the need for a diagram to clarify the design. The conversation emphasizes the importance of understanding the geometric configuration of the buoy. Overall, the thread highlights the challenge of visualizing the construction of a buoy from the described components.
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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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