The volume of the given cylinder.
First, we'll have to find the raduis.
[tex]d = 2r [/tex]
[tex]r = \frac{12}{2} [/tex]
[tex]r = 6 \: in [/tex]
Now, we can work out the volume.
[tex]V = \pi {r}^{2} h[/tex]
[tex]V = \pi \times {6}^{2} \times 13[/tex]
[tex]V = 1470.26536 \: {in}^{3} [/tex]
[tex]\large\boxed{\sf{V = 1470.3 \: {in}^{3}}}[/tex]
Hence, the volume of the given cylinder is 1470.3 cubic inches.
