Question

The ratio of moments of inertia of two solid spheres of same mass but densities in the ratio 1:8 is

Answer 1

Let M1 and M2 be the masses of two solid spheres of densities d1 and d2.  

According to your problem , M1 = M2  

M = 4/3πR³ X d  

so , 4/3πR1³ X d1 = 4/3πR2³ X d2  

= (R1/R2)³ = d1/d2 = 8/1  

R1/R2 = 2/1.  

The ratio of moments of inertia of the spheres ,  

(R1/R2)² = (2/1)²  

= 4/1  

Answer 2

Hey friend your answer is
××××××××××××××××××××××××

Assuming M1 and M2 the masses of solid spheres of densities D1 and D2

ACCORDING TO THE QUESTION,

M=4/3 πr³*d

Then,

4/3πr1³*d1

=4/3r2³*d²

=>{r1/r2)={d1/d2}

r1/r2 =2/1

Ratioof moments of inertia (r1/r2)²
=(2/1)²
=4/1
=4:1

•°•Your answer is 4:1

$hope \: it \: helps$