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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.

A

`(-(R )/(50), (21R)/(80))`

B

`(-(R )/(30),(21R)/(80))`

C

`(-(R )/(50),(7R)/(16))`

D

`(-(R )/(30),(7R)/(16))`

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The correct Answer is:
A
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