To solve this problem, we need to identify the function carried out by the cytoskeleton in a cell. Let's analyze each option:$\newline \bullet$Nuclear division:$\newline$ - This process involves the division of a cell's nucleus and is primarily facilitated by the mitotic spindle, which is composed of microtubules, a component of the cytoskeleton.$\newline$ - While the cytoskeleton is involved, it is not the primary function of the cytoskeleton as a whole.$\newline \bullet$Protein synthesis:$\newline$ - Protein synthesis occurs in the ribosomes and involves the translation of mRNA into proteins.$\newline$ - The cytoskeleton does not directly participate in protein synthesis.$\newline \bullet$Motility:$\newline$ - The cytoskeleton is crucial for cell motility. It provides structural support and facilitates movement through components like actin filaments and microtubules.$\newline$ - This is a primary function of the cytoskeleton, enabling processes such as amoeboid movement, cilia, and flagella motion.$\newline \bullet$Transportation:$\newline$ - The cytoskeleton assists in intracellular transport by providing tracks for motor proteins to move organelles and vesicles.$\newline$ - While important, this is not the primary function of the cytoskeleton.$\newline$Based on the analysis, the function of motility is most directly associated with the cytoskeleton.$\newline$Therefore, the correct option is Option 3: Motility.