What is the volume of the cone in terms of π ?

[tex]v = \frac{1}{3} \times \pi \times {r}^{2} \times height \\ [/tex]
[tex]v = \frac{1}{3} \times \pi \times {2}^{2} \times 6 \\ [/tex]
[tex]v = \frac{24}{3} \pi \\ [/tex]
[tex]v = 8\pi \: \: \: {in}^{3} [/tex]