1. **State the problem:** We need to find the volume of a cylindrical grain silo with diameter 16 ft and height 47 ft. 2. **Formula for volume of a cylinder:** $$V = \pi r^2 h$$ where $r$ is the radius and $h$ is the height. 3. **Find the radius:** The radius $r$ is half the diameter: $$r = \frac{16}{2} = 8 \text{ ft}$$ 4. **Substitute values into the formula:** $$V = 3.14 \times 8^2 \times 47$$ 5. **Calculate the square of the radius:** $$8^2 = 64$$ 6. **Calculate the volume:** $$V = 3.14 \times 64 \times 47$$ 7. **Multiply step-by-step:** $$3.14 \times 64 = 200.96$$ $$200.96 \times 47 = 9445.12$$ 8. **Round to the nearest whole number:** $$V \approx 9445 \text{ cubic feet}$$ **Final answer:** The volume of the silo is approximately **9445 cubic feet**.