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Prove that the radius of the right circu...

Prove that the radius of the right circular cylinder of greatest curved surface area which can be inscribed in a given cone is half of that of the cone.

Text Solution

Verified by Experts

OE=x
OC=r
AO=h
`/_ AOC cong /_ QEC`
`(AO)/(OC)=(QE)/(EC)`
`(QE)=(AO)/(OC)(EC)`
=`h/r(r-x)`
`deltax=2pix(h/r(r-x))`
...
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