1. **State the problem:** We need to find the volume of a cylinder with radius $r=9$ meters and height $h=16$ meters. 2. **Formula:** The volume $V$ of a cylinder is given by the formula: $$V = \pi r^2 h$$ where $r$ is the radius and $h$ is the height. 3. **Calculate the volume:** Substitute $r=9$ and $h=16$ into the formula: $$V = \pi \times 9^2 \times 16$$ 4. **Simplify:** $$V = \pi \times 81 \times 16$$ $$V = \pi \times 1296$$ 5. **Final answer:** The volume of the cylinder is: $$V = 1296\pi \text{ cubic meters}$$ This means the cylinder can hold $1296\pi$ cubic meters of liquid, which is approximately $4071.5$ cubic meters when using $\pi \approx 3.1416$.