Respuesta :
Answer:
3216.99ft
Step-by-step explanation:
the formula for the volume of a cone is V=πr^2h/3
if it has a diameter of 32, so its radius must be half that or 16.
[tex]\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=16\\ h=12 \end{cases}\implies V=\cfrac{\pi (16)^2(12)}{3} \\\\\\ V=1024\pi \implies V\approx 3216.99[/tex]