Question

Raw milk is stored at a dairy farm in a refrigerated cylindrical vat 6.50 feet wide and 12.5 feet high. If the vat contains 3.3 × 10² ft³ of milk, how many kg of milk does the vat contain, given that raw milk has a density of 1030 kg/m3?

Answer 1

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.