Ratio between radius and height of a cone with maximised volume

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Huda

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[FONT=&quot][FONT=&quot]A cone shaped drinking cup is made from a circular piece of paper of radius r by cutting out a sector and joining the edges CB and CD. if the cut is made so that the volume of the resulting cup is maximised, then what is the ratio between the radius and height of the cup?[/FONT][/FONT]
 
Huda said:
A cone shaped drinking cup is made from a circular piece of paper of radius r by cutting out a sector and joining the edges CB and CD. if the cut is made so that the volume of the resulting cup is maximised, then what is the ratio between the radius and height of the cup?
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Please show us whatever work you are able to do, and where you are stuck; or at least tell us what you have learned that might be of use. Do you know any calculus? Have you found the appropriate formulas to use for volume of a cone? Have you recognized that the radius of the circle you start with is the slant-height of the cone?

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