Which type of pipe carries waste water or waterborne wastes within a building drainage system?

The type of pipe that carries wastewater or waterborne wastes within a building drainage system is indeed a drain pipe. Drain pipes are specifically designed to transport liquid waste away from fixtures such as sinks, toilets, and showers to the municipal sewer system or a septic tank. They are a crucial component of a building's plumbing, ensuring the safe and efficient removal of sewage and waste to maintain hygiene and sanitation.

While a vent pipe serves a different purpose by allowing air to enter the drainage system to prevent vacuum and facilitate proper drainage flow, it does not transport wastewater itself. A service line typically refers to the pipe that brings water from the municipal source into the building, rather than one that handles waste. A soil pipe, while it does carry waste, specifically refers to a pipe that is used for the discharge of sewage from water closets, but the more general term for pipes dealing with wastewater would be the drain. Thus, the drain pipe is the most encompassing and accurate answer for the type of pipe that carries wastewater within a building drainage system.