Answer:
The correct option is C.
Explanation:
The formula for volume of a cone is
![V=(1)/(3)\pi r^2h](https://img.qammunity.org/2019/formulas/mathematics/high-school/zmatwc422fckyi3ubgg65lucfnhuu0nwbq.png)
where, r is the radius of base and h is the height of cone.
From the given figure it is clear that the height of the cone is 27 units and the radius of the base is 4 units. The volume of the cone is
![V=(1)/(3)\pi (4)^2(27)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/3xupta8ztur8kab93frstv0xaecanyhwbf.png)
![V=144\pi](https://img.qammunity.org/2019/formulas/mathematics/middle-school/r7wcl412wg284yrtlj6ov6b6irwy5fjzrt.png)
The volume of cone is 144π unit³. Therefore the correct option is C.