1. **State the problem:** We need to find the volume of a cylinder with radius $r = 16.4$ m and height $h = 4.7$ m. 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 $r = 16.4$ and $h = 4.7$ into the formula: $$V = \pi \times (16.4)^2 \times 4.7$$ 4. **Square the radius:** $$16.4^2 = 268.96$$ So, $$V = \pi \times 268.96 \times 4.7$$ 5. **Multiply $268.96$ by $4.7$:** $$268.96 \times 4.7 = 1263.512$$ 6. **Multiply by $\pi$ (approx. 3.1416):** $$V = 3.1416 \times 1263.512 = 3967.0$$ 7. **Final answer:** The volume of the cylinder is approximately **3967.0 cubic meters** (to 1 decimal place).