A one-piece bowl including an open top, a bottom opening, a rim portion, an interior space and a plurality of cavities is provided. The rim portion substantially surrounds the bowl near the open top, and an inner channel is formed along and within the rim portion. The interior space is substantially defined by an interior surface, the open top and the bottom opening. The plurality of cavities extends from the inner channel to the interior space. The inner channel and the cavities are configured to pass fluid from an outer fluid source to the interior space. A mold assembly and a method for forming a one-piece greenware piece for the bowl are also provided. The mold assembly includes a top mold component and a bottom mold component that are configured to mate and thereby form a reservoir substantially defining the bowl.