Answer:
cubic units.
Explanation:
You can use this formula for calculate the volume of a cone:
![V_(cone)=(1)/(3)\pi r^2h](https://img.qammunity.org/2020/formulas/mathematics/high-school/m9k9qogr3rivibwqlgrrnfn5tgj33n6tmf.png)
Where "r" is the radius and "h" is the height.
You know that the diameter of the base of the cone measures 8 units, then, the radius can be found by dividing the diameter by 2:
![r=(8units)/(2)\\\\r=4units](https://img.qammunity.org/2020/formulas/mathematics/high-school/fv4fftcixaahdq9qjq7re0953emwet540h.png)
Since you already know that height and the radius, you can substitute them into the formula. Then, the volume of this cone is:
![V_(cone)=(1)/(3)\pi (4units)^2(6units)](https://img.qammunity.org/2020/formulas/mathematics/high-school/2i8dzrprsouyvl66kaunxlz6ms5hnabpwk.png)
![V_(cone)=32\pi \ units^3](https://img.qammunity.org/2020/formulas/mathematics/high-school/s6rytonutaymnwc6a0cnwqugsk5r29ymcs.png)