Two spheres are used in a certain machine. One has a volume of 7 cm3 and the other has a volume of 189 cm3. The radius of the small sphere is what fraction of the radius of the large sphere?

1 answer

Let the volume of the small sphere be y
And the larger one be x

y=4/3(πr³)=7.....(1)

x=4/3(πR³)=189....(2)

4/3(πr³)/(4πR²/3)=7/189

(r³/R³)=1/27

(r/R)³=(1/3)³

r/R=1/3

R=3r

That what I got when I solved for it