Given:
Given that the radius of the cone is 2 inches.
The height of the cone is 4 inches.
We need to determine the volume of the cone.
Volume of the cone:
The volume of the cone can be determined using the formula,
![V=(1)/(3) \pi r^2 h](https://img.qammunity.org/2021/formulas/mathematics/high-school/zgrfqezck9kd101ua67mnhz7r35caa769g.png)
where r is the radius of the cone and h is the height of the cone.
Substituting r = 2 and h = 4 in the above formula, we get;
![V=(1)/(3) (3.14) (2)^2 (4)](https://img.qammunity.org/2021/formulas/mathematics/high-school/qbal85bwymkn34nzfsiama8yesrpgt70b5.png)
![V=(1)/(3) (3.14) (4) (4)](https://img.qammunity.org/2021/formulas/mathematics/high-school/b34fivttw8p5b4afdj3qra3k4l9cre5moh.png)
![V=(1)/(3)(50.24)](https://img.qammunity.org/2021/formulas/mathematics/high-school/v0o6avcx29a93rqjd1s87qhf95mb949z56.png)
![V=16.75](https://img.qammunity.org/2021/formulas/mathematics/high-school/owjj70k4cxyf8b1aqzp7r7p0wgd4vyoj66.png)
Thus, the volume of the cone is 16.75 cubic inches.