First off,we need to understnad the formula of a cone:
[tex] \frac{1}{3} \pi \times {radius}^{2} \times height[/tex]
In this case,the radius:
=5.8÷2
=2.9in
The volume of the cone:
[tex] \frac{1}{3} \pi \times {2.9}^{2} \times 16 \\ = \frac{1}{3} \pi \times 134.56 \\ = \frac{3346}{75} \pi \\ = 140.9109...[/tex]
Therefore,the answer is 3365/75兀 or 140.91.
Hope it helps!