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Show that the semi-vertical angle of th...

Show that the semi-vertical angle of the cone of the maximum volume and of given slant height is `tan^(-1)sqrt(2)`.

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The slant height is given by
`I=sqrt(h^2+r^2)`
Now, volume is `V=pi/3 r^2h`
`=pi/3 (l^2-h^2)h`
...
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