Process by which a cell takes in material by forming a vacuole around it

Endocytosis

Explanation:

The process of capturing a molecule outside the cell membrane and takes that molecule inside the cell by forming a vacuole around it is called endocytosis. This vacuole is formed by the cell membrane which engulfs the molecule to internalize it.

Pinocytosis and phagocytosis comes under endocytosis and energy is required in the process of endocytosis. Endocytosis plays an important role in nutrient uptake, cell signaling, maintaining the plasma membrane composition, antigen presentation, etc.

So endocytosis plays an important role in cell survival. Therefore the right answer is endocytosis.