Respuesta :

Explanation:

The question wants us to find the volume of the cone.

To do so, we will use the formula below

[tex]V=\frac{1}{3}\pi r^2h[/tex]

In our case,

[tex]\begin{gathered} \text{radius}=\frac{dameter}{2}=\frac{12}{2}=6cm \\ \text{height}=9cm \\ \pi=3.14 \end{gathered}[/tex]

Therefore, the volume will be

[tex]\begin{gathered} \text{volume}=\frac{1}{3}\times3.14\times6^2\times9 \\ \text{volume}=339.12cm^3 \\ \\ \text{Thus, } \\ \text{The volume is }339.1cm^3 \end{gathered}[/tex]