Find the volume of a cylinder that is 8 across and 13 tall.

The formula for finding the volume of a cylinder is V = πr^2h, where r is the radius of the base of the cylinder and h is the height of the cylinder.

Given that the diameter of the cylinder is 8, the radius (r) is half of that, so r = 4.

Substitute r = 4 and h = 13 into the formula:

V = π(4)^2(13)
V = π(16)(13)
V = 208π

Therefore, the volume of the cylinder is 208π cubic units.