Respuesta :

Given the diameter of the cone is d = 12 in.

The height of the cone is h = 3 in.

Calculate the radius of the cone,

[tex]\begin{gathered} r=\frac{d}{2} \\ r=\frac{12\text{ in.}}{2} \\ r=6\text{ in.} \end{gathered}[/tex]

Calculate the volume of the cone,

[tex]\begin{gathered} V=\frac{\pi r^2\times h}{3} \\ V=\frac{3\times6\times6\times3}{3} \\ V=108in^3 \end{gathered}[/tex]