1. **State the problem:** We need to find the surface area of a cylinder with height $7m$ and radius $9m$. 2. **Formula for surface area of a cylinder:** The total surface area $A$ of a cylinder is given by: $$A = 2\pi r^2 + 2\pi r h$$ where $r$ is the radius and $h$ is the height. 3. **Explanation:** - The term $2\pi r^2$ represents the area of the two circular bases. - The term $2\pi r h$ represents the lateral surface area (the side). 4. **Substitute the values:** $$A = 2\pi (9)^2 + 2\pi (9)(7)$$ 5. **Calculate each part:** $$2\pi (81) + 2\pi (63) = 162\pi + 126\pi$$ 6. **Add the terms:** $$162\pi + 126\pi = 288\pi$$ 7. **Final answer:** $$A = 288\pi \approx 904.78 \text{ square meters}$$ This is the total surface area of the cylinder.