As shown in figure, when a spherical cavity (centered at ) of radius is cut out of a uniform sphere of radius (centered at ), the center of mass of remaining (shaded) part of sphere is shown by , i.e. on the surface of the cavity. can be determined by the equation
Step 1: Given data
Center of the cavity
Center of the solid sphere
Radius of cavity
Radius of solid Sphere
Mass of the sphere is taken to be ,which can be given as ,
Mass of the cavity is taken to be , which can be given as
Where, Density of the material
Step 2 : To find the equation to determine the value of
By the concept of COM,
Remaining mass Cavity mass
Hence, can be determine by the equation .
Therefore, Option A is the correct answer.