Problem $1(12$ points$)$: Properties of Thermodynamic Systems

An iron sphere has a weight of $10$ N and a specific volume of $1\mathrm{.}2710-4\frac{m^3}{k}g.$

a$)$ What is its density, in $\frac{g}{c}{m}^3?(4$ points$)$

b$)$ What is its diameter, in cm $?(5$ points$)$

c$)$ Do you have enough information to fully define the state of the iron sphere? Why or why

not? $(3$ points$)$