[tex]v = \frac{1}{3} \pi {r}^{2} h \\ r = 8 \: cm \\ h = 15 \: cm[/tex]
From the diagram, we can see that the radius of the cone is 8cm and the height of the cone is 15cm. We then just plug these numbers into the formula and simplify:
[tex]v = \frac{1}{3} \pi {r}^{2} h \\ v = \frac{1}{3} \pi {(8)}^{2} (15) \\ v = 320\pi[/tex]
The volume of the cone is approximately 1005.3096 cm^3. With 3 sig figs, this is 1010 cm^3.
