A steel sphere 3.0 cm in diameter has a mass of 0.11 kg. What is the mass of a steel sphere 5.0 cm in diameter?

I know that $m= DV$ where D is density and V is Volume. I am assuming that both spheres have the same density since it is made of steel so I plugged in $1.5$ into $V=\dfrac{4}{3}\pi r^3$ and got $14.14cm^3$. I then plugged $14.14$ into $m= DV$ and got that the density was $0.0078$. Now I can solve for the unknown mass $m=0.0078(\dfrac{4}{3}\pi (2.5)^3)$. I got the mass is $0.51kg$. Did I do this problem correctly? If not could anyone explain what I did wrong?