Answer:
[tex]V=405.04\:\mathrm{cm^3}[/tex]
Step-by-step explanation:
The volume of a cone is given by [tex]V=\frac{1}{3}\cdot r^2\pi\cdot h[/tex] (the area of the base multiplied by the height divided by 3).
In the given cone, we have [tex]r=6.1\:\text{cm}[/tex] and [tex]h=10.4\:\text{cm}[/tex]. Substituting in these values, we get:
[tex]V=\frac{1}{3}\cdot 6.1^2\pi \cdot 10.4,\\V=\boxed{405.04\:\mathrm{cm^3}}[/tex]
