1. **State the problem:** We are given the cross-sectional area of a cylinder as $19\ \text{m}^2$ and the length (height) of the cylinder as $13\ \text{m}$. We need to find the volume of the cylinder. 2. **Formula used:** The volume $V$ of a cylinder is given by the formula: $$V = A \times h$$ where $A$ is the cross-sectional area and $h$ is the height (length) of the cylinder. 3. **Substitute the given values:** $$V = 19 \times 13$$ 4. **Calculate the volume:** $$V = 247\ \text{m}^3$$ 5. **Explanation:** The volume of a cylinder is found by multiplying the area of its circular base by its height. Since the cross-sectional area is already given, we simply multiply it by the length to get the volume. **Final answer:** The volume of the cylinder is $247\ \text{m}^3$.