A carpenter has constructed a toy as shown in figure. If the density of the material of the sphere is 12 tirnes that of cone, the `y-` coordinate of `COM` of toy point `O`

Answer

4R from O

Explanation

`y_(cm) = ({rho(pi(2R)^(2))/(3) xx 4R} xx R + {12rho xx (4)/(3)piR^(3)} xx 5R)/({rho(pi(2R)^(2))/(3) xx 4R} + {12rho xx (4)/(3)pi4R^(3)}) = 4R`