The volume of a cylinder is given by
[tex] V = A_b\cdot h [/tex]
where [tex] A_b [/tex] is the base area, and [tex] h [/tex] is the height.
We are already given the height, which is 10.
We can deduce the base area since we are given a diameter: the radius is half the diameter, so it's 8, and the area of a circle is given by
[tex] A_b = \pi r^2 = \pi 8^2 = 64\pi [/tex]
So, the volume is
[tex] V = A_b\cdot h = 64\pi \cdot 10 = 640\pi \approx 2010.6193\ldots [/tex]
