A spherical cavity of radius \( r \) is carved out of a uniform solid sphere of radius \( R \) a...

A spherical cavity of radius \( r \) is carved out of a uniform solid sphere of radius \( R \) a...

A spherical cavity of radius \( r \) is carved out of a uniform solid sphere of radius \( R \) as shown in the figure. The distance of the center of mass of the resulting body from that of the solid sphere is given by [KVPY 2009] (a) \( \frac{R-r}{2} \) (b) 0 (c) \( \frac{R+r}{2} \) (d) \( \frac{-r^{3}}{R^{2}+R r+r^{3}} \) 📲PW App Link - https://bit.ly/YTAI_PWAP 🌐PW Website - https://www.pw.live