The formula for the volume of a cylinder is:
V = πr^2h
where r is the radius and h is the height of the cylinder.
Substituting the given values, we get:
V = π(7^2)(13)
= 1274π
≈ 3993.87 cubic inches (rounded to the nearest hundredth)
Therefore, the volume of the cylinder is approximately 3993.87 cubic inches.