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Two solid hemispheres of radii R and (R ...

Two solid hemispheres of radii R and `(R )/(2)` with centers O and O' respectively as shown in figure. The density of bigger hemisphere is `rho` and that of smaller hemisphere is `2rho`. Taking center of bigger hemisphere is at origin and the distance between centres of two hemisphere OO' is `(R)/(10)` find co - ordinates of center of mass of the system.

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