Three balls of masses 2kg, 4kg and 6kg respectively are arranged at centre of the edges of an equilateral triangle of side 2 m. The moment of…

Three balls of masses 2kg, 4kg and 6kg respectively are arranged at centre of the edges of an equilateral triangle of side $\displaystyle 2$ m. The moment of intertia of the system about an axis through the centroid and perpendicular to the plane of triangle, will be $\displaystyle \_\_\_\_$ $\displaystyle \mathrm{kg} \mathrm{m}^2$.