Respuesta :
if the diameter is 3, the radius is half that, or 1.5.
[tex]\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} h=2.5\\ r=1.5 \end{cases}\implies V=\cfrac{\pi (1.5)^2(2.5)}{3}\implies V=\cfrac{5.625\pi }{3}[/tex]
[tex]\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} h=2.5\\ r=1.5 \end{cases}\implies V=\cfrac{\pi (1.5)^2(2.5)}{3}\implies V=\cfrac{5.625\pi }{3}[/tex]