Given cylinder has diameter 16ft and height 10ft.
Radius of the cylinder = 16/2 = 8 ft.
We need to find the volume of cylinder.
Volume of the cylinder (V) =

Where r is the radius of the cylinder and h is the height of the cylinder.
Plugging values of r=8 and height h=10 in above formula, we get
V =

V=

V=

Plugging π =3.142
V= 3.142 × 640
V ≈2010.88.
In the given options it's nearly equal to 2010.62.
Therefore, Volume is 2010.62 ft^3.