Final answer:
The hepatic veins are responsible for draining the contents of the liver into the inferior vena cava.
Step-by-step explanation:
The set of paired veins that drain the contents of the liver into the inferior vena cava are the hepatic veins. While the hepatic portal vein delivers blood containing nutrients and drugs from the digestive tract to the liver for processing, it is the hepatic veins that are responsible for transferring the processed blood away from the liver into the inferior vena cava, which then returns it to the heart. This system ensures that all blood from the alimentary canal passes through the liver before rejoining the systemic circulation.