let the density be ρmass of the complete sphere =43πR3ρmass of the removed sphere =-43πa3ρ -ve as it is removed CM X=0*43πR3ρ--43πa3ρ*b43πR3ρ+-43πa3ρ =-a3bR3-a3rest of the coordinate remsin same as body is symmetric about them Regards

Explain in brief Q7

l e t t h e d e n s i t y b e ρ m a s s o f t h e c o m p l e t e s p h e r e = \frac{4}{3} {πR}^{3} ρ mass of the removed sphere = \frac{- 4}{3} {πa}^{3} ρ - ve as it is removed . CM X = \frac{0 * \frac{4}{3} {πR}^{3} ρ - \frac{- 4}{3} {πa}^{3} ρ * b}{\frac{4}{3} {πR}^{3} ρ + \frac{- 4}{3} {πa}^{3} ρ} = \frac{- a^{3} b}{R^{3} - a^{3}} rest of the coordinate remsin same as body is symmetric about them . Regards

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