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Show that the altitude of the right circ...

Show that the altitude of the right circular cone of maximum volume that can be inscribed in a sphere of radius r is 4r/3. Also, find maximum volume in terms of volume of the sphere.

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`(##_XII_06_SLV_15_##)`
Let `R`and `h` be the radius and height of the cone
`r` be the radius of sphere
To show `h=(4r)/3`
...
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