Two solids spheres of diameter `d_(1)` and `d_(2)` having material densities `rho_(1)` and `rho_(2)` are placed in contact with each other on the horizontal plane. The height of the combined center of mass from plane

Options

A. `h=((d_(1)^(2)rho_(1)+d_(2)^(2)rho_(2))/(d_(1)rho_(1)+d_(2)rho_(2)))`
B. `h=(d_(1)^(4)rho_(1)+d_(2)^(4)rho_(2))/(2(d_(1)^(3)rho_(1)+d_(2)^(3)rho_(2)))`
C. `h=((d_(1)rho_(1)+d_(2)rho_(2))/(rho_(1)+rho_(2)))`
D. `h=((d_(1)^(2)rho_(1)+d_(2)^(2)rho_(2))/(d_(1)^(3)rho_(1)+d_(2)^(3)rho_(2)))`

Answer

B