Sure! Let's work through the conversion step-by-step:
1. First, we identify the conversion factor between liters and milliliters. We know that:
[tex]\[
1 \text{ liter} = 1000 \text{ milliliters}
\][/tex]
2. To convert a volume given in liters to milliliters, we multiply the volume in liters by the conversion factor (1000 milliliters per liter).
3. Given that the volume of the vessel is 6 liters, we perform the multiplication:
[tex]\[
6 \text{ liters} \times 1000 \text{ milliliters per liter} = 6000 \text{ milliliters}
\][/tex]
Therefore, the volume of the vessel is 6000 milliliters.