Final answer:
The vat contains approximately 9619.888 kg of milk.
Step-by-step explanation:
To find the mass of milk in the vat, we will first convert the volume of milk to cubic meters. Given that the volume is 3.3 × 10² ft³, we can convert it to cubic meters by using the conversion factor: 1 ft³ = 0.02832 m³. So, the volume of milk in cubic meters is (3.3 × 10² ft³) * (0.02832 m³/1 ft³) = 9.3496 m³.
Now, we can calculate the mass of the milk by multiplying the volume by the density of the milk, which is 1030 kg/m³. Thus, the mass of the milk in the vat is (9.3496 m³) * (1030 kg/m³) = 9619.888 kg.
Therefore, the vat contains approximately 9619.888 kg of milk.