ANSWER
[tex]\begin{equation*} 75.36\text{ }yd^3 \end{equation*}[/tex]
EXPLANATION
The volume of a cone is given by:
[tex]V=\frac{1}{3}\pi r^2h[/tex]
where r = radius of the base of the cone
h = height of the cone
The diameter of the base of the cone is twice the radius. This implies that the radius of the cone is:
[tex]\begin{gathered} D=2r \\ r=\frac{D}{2} \\ r=\frac{6}{2} \\ r=3\text{ }yd \end{gathered}[/tex]
Hence, the volume of the cone is:
[tex]\begin{gathered} V=\frac{1}{3}*3.14*3^2*8 \\ V=75.36\text{ }yd^3 \end{gathered}[/tex]
That is the answer.
