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A solid hemisphere of radius R is mounte...

A solid hemisphere of radius R is mounted on a solid cylinder of same radius and density as shown .the height of cylinder is such that the resulting centre of mass is at O. if radius of sphrere is `2sqrt(2)m`, what is the height of the cylinder (in m ) ?

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The correct Answer is:
3
`P2/3 pi R^(3) .(3R)/8=P.piR^(2)h.h/2`
`R/(sqrt(2))=h=2m`
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