Given:
it is given that thw height of a cone is 9 ft and base diameter is 12 ft.
Find:
we have to find the Volume of the cone.
Step-by-step explanation:
we know the volume of the cone with height h and radius r is
![V=(1)/(3)\pi r^2h](https://img.qammunity.org/2023/formulas/mathematics/high-school/cb7imlxhz45xpg280bynm05moay5z8zpto.png)
here height (h) = 9 ft
diameter d = 12 ft
Therefore, radius r = 12/2 = 6 ft
The Volume of the cone is
![V=(1)/(3)\pi(6)^2*9=(1)/(3)*(3.14)*36*9=339.12\text{ }ft^3](https://img.qammunity.org/2023/formulas/mathematics/college/8bqtxgdlopakau211h0fhi92oxwfsmrupe.png)
Therefore, the volume of the given cone is 339.12 ft^3