Given:
The radius of the cone is 2 cm.
The height of the cone is 2.25 cm.
We need to determine the volume of the cone.
Volume of the cone:
The volume of the cone can be determined using the formula,

where r is the radius and h is the height of the cone.
Substituting r = 2 and h = 2.25, we get;

Simplifying, we get;

Multiplying, we get;

Dividing, we get;

Thus, the volume of the cone is 9.42 cubic cm.
Hence, Option b is the correct answer.