Question

A carpenter has constructed a toy as shown in the figure. If the density of a material of the sphere is `12` times that of cone, the position of the centre of mass of the toy is given by :
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Answer 1

Correct Answer - 4R from O
`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`