Full-fat milk consists of fat-free milk combined with fat. A volume of $1.000 \times 10^{-3}\,\text{m}^3$ of full-fat milk has a mass of $1.035\,\text{kg}$. By volume, it is $4.00\%$ fat. The density of fat-free milk is $1.040 \times 10^{3}\,\text{kg m}^{-3}$. Determine the density of fat.
- A$1.25 \times 10^{2}\,\text{kg m}^{-3}$
- B$9.15 \times 10^{2}\,\text{kg m}^{-3}$
- C$9.28 \times 10^{2}\,\text{kg m}^{-3}$
- D$1.16 \times 10^{3}\,\text{kg m}^{-3}$