M.I of a solid sphere about its diameter is 64 kgm2 . If that sphere is recast into 8 identical small spheres, then M.I. of such small sphere about its diameter is

25MR2=64---(1) Vbig=nVsmall 43πR3=n43πr3 r=R2 m∝R3m=Vρ m2m1=R2R13=R12R13=18 m2=M8              For small spheres m=M8,r=R2          I'=25mr2=25×M8×(R2)2                = 132(25MR2)=2kgm2