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A right circular cylinder is inscribed i...

A right circular cylinder is inscribed in a cone. Show that the curved surface area of the cylinder is maximum when the diameter of the cylinder is equal to the radius of the base of the cone.

Text Solution

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Radius of cylinder=x
Diameter of cylinder=2x
radius of cone=r
height of cone=h
height of cylinderEG
`triangle AOC and triangle EGC`
`angleEGC=90^0 and angle OAC=90^0`
`angle ACO = angle EGC`
...
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