Answer:
The volume of the cup is of 142.2 cubic centimeters.
Explanation:
The cone volume is given by the following equation:

In which r is the radius, which is half the diameter, and h is the height.
In this question:
Dimensions in cm, so the volume will be in cubic centimers.
Height of 10 cm, so

Diameter of

So the radius is

Volume of the cup:

The volume of the cup is of 142.2 cubic centimeters.