Answer:
The volume of the cone is;
[tex]V=1357.2\text{ }cm^3[/tex]Explanation:
Given that the cone has a height of 16 cm and base diameter of 18 cm;
[tex]\begin{gathered} h=16\text{ cm} \\ d=18\operatorname{cm} \\ \text{radius r = }\frac{18}{2} \\ r=9\text{ cm} \end{gathered}[/tex]Recall that the formula for the volume of a cone is;
[tex]V=\frac{1}{3}\pi r^2h[/tex]substituting the values of r and h;
[tex]\begin{gathered} V=\frac{1}{3}\times\pi\times9^2\times16 \\ V=1,357.2\text{ }cm^3 \end{gathered}[/tex]Therefore, the volume of the cone is;
[tex]V=1357.2\text{ }cm^3[/tex]