Volume of a cone:[tex] v = \frac{1}{3}\pi {r}^{2}h[/tex]
Given values:
[tex]r = 4cm \\ h = 9cm \\ \pi = 3.14[/tex]
Replacing for the values:[tex] \frac{1}{3}\pi {4}^{2} \times 9 \\ \frac{1}{3} \pi16 \times 9 \\ \frac{\pi144}{3} \\ Then, we have: \pi 48[/tex]
Final answer: [tex]v = 150.72[/tex]cm³
I hope this helps.