Final answer:
The ribosome is the site of protein synthesis in the cell, and the RNA components of ribosomes are synthesized in the nucleolus.
Step-by-step explanation:
The site of protein synthesis in the cell is the ribosome. Ribosomes are the cellular structures where proteins are assembled under the direction of mRNA (messenger RNA). Protein synthesis occurs on both free ribosomes in the cytoplasm and ribosomes that are attached to the rough endoplasmic reticulum (RER). The RNA components of ribosomes, however, are synthesized in the nucleolus, which is found within the nucleus of eukaryotic cells. After assembly, ribosomes can either remain in the cytoplasm or attach to the RER where they play a crucial role in synthesizing proteins destined for specific locations in the cell or for secretion.