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Yes, all organelles, including the nucleus, of a eukaryotic cell are contained within the cell's cytoplasm.However, the nucleus also contains its own cytoplasm, known as the nucleoplasm, which is different in composition from the cellular cytoplasm. The nucleus of a cell is found in the center, not to be confused with the nucleolus, which is inside of that. The cytoplasm surrounds the nucleus and is the fluid that c â¦ ontains the different ribosomes, etc.
In many cells, the centrosome is located in the cytoplasm, outside the nucleus; the microtubules would be unable to attach to the chromatids in the presence of the nuclear envelope. Therefore, the early stages in the cell cycle, beginning in prophase and until around prometaphase, the nuclear membrane is dismantled.