This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
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