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Consider a uniform solid cone having circular base of radius a, height h and mass M.
u should know the mass 
now we can say
 (X,Y,Z) = (0,0,h/4) which is correct.
For the moment of inertia
 use the definition of I =  pb² dV where p = mass pert unit volume, and b is the distance from the axis.
 We know
the volume of a cone = 1/3 pi a²h
answer will be (3/10)Ma²
0 0 0
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