In order to calculate the volume of the cone, we can use the following formula:
[tex]V=\frac{1}{3}\pi r^2h[/tex]Where r is the radius and h is the height.
Since the diameter is 10 cm, the radius is half of it, so 5 cm, so we have:
[tex]\begin{gathered} V=\frac{1}{3}\pi\cdot5^2\cdot6 \\ V=157 \end{gathered}[/tex]So the volume of the cone is 157 cm³.
