Step 1
The volume of a cone is given as;
[tex]V=\frac{\pi r^2h}{3}[/tex]where;
[tex]\begin{gathered} r=\frac{diameter}{2}=\frac{12}{2}=6cm \\ h=14.4cm \end{gathered}[/tex]Step 2
Find the volume of the cone to the nearest hundredth.
[tex]\begin{gathered} V=\frac{\pi(6^2)(14.4)}{3} \\ V=\frac{2^2\times3^2\times\: 14.4\pi}{3} \\ V=2^2\times\: 3\times\: 14.4\pi \\ V=2^2\times43.2\pi \end{gathered}[/tex][tex]\begin{gathered} V=542.8672105cm^3 \\ V\approx542.87cm^3 \end{gathered}[/tex]Answer; The volume of the cone to the nearest hundredth=542.87cm³
