Final answer:
The cerebrum is developed from the telencephalon, and the cerebellum from the metencephalon. These regions arise during the embryonic growth of the brain, where the neural tube forms several vesicles that will become the adult brain structures.
Step-by-step explanation:
The cerebrum develops from the telencephalon whereas the cerebellum develops from the metencephalon. During embryonic development, the neural tube differentiates into several vesicles that give rise to different parts of the brain. The cerebrum is formed from the telencephalon, which is a division of the prosencephalon, or forebrain.
The cerebellum, often referred to as the "little brain", develops from the metencephalon, which is a secondary vesicle of the embryonic brain that also contributes to forming the pons. Together with the myelencephalon, which forms the medulla oblongata, the metencephalon contributes to the structures of the brain stem, while the cerebellum becomes a separate region of the adult brain.