Step 1: Understanding the Concept:
Cohesive forces between liquid molecules are short ranged. The sphere of influence is the sphere of about \(10^{-9}\) m radius around a molecule, outside of which the force is negligible.
Step 2: Detailed Explanation:
A molecule at the centre of the sphere is attracted by the other molecules that lie inside the sphere. Since it is surrounded from all sides, the pulls are balanced and the net force on it is zero.
Molecules outside the sphere are too far away to exert a noticeable attraction, so options (B) and (C) are not the case. The force between liquid molecules at this range is attractive, so repulsion in (D) is not what acts.
Step 3: Final Answer:
Option (A): the molecule is attracted by the other molecules within the sphere of influence.
Final Answer:
A centre molecule is pulled by neighbours within its sphere.
\[ \boxed{\text{(A) }\text{attracted by molecules inside the sphere}} \]