Final answer:
The mass of the liquid in the vat is 686,800 kg.
Step-by-step explanation:
To determine the mass of the liquid in the vat, we need to first find the volume of the liquid.
The vat has a diameter of 0.4 m and a height of 4 m, so its volume can be calculated using the formula for the volume of a cylinder: V = πr²h.
Plugging in the values, we get
V = π(0.2 m)²(4 m)
= 1.01 m³.
Next, we need to convert the volume from cubic meters to liters.
Since 1 liter is equal to 0.001 m³, we can multiply the volume by 1000 to get 1010 liters.
Finally, we can use the density of the liquid to find its mass.
The density is given as 680 kg/m³, so the mass of 1010 liters would be
680 kg/m³ × 1010 L = 686,800 kg.