1. **State the problem:** We need to find the volume of a sphere with radius $r = 1$ ft. 2. **Formula for the volume of a sphere:** $$V = \frac{4}{3} \pi r^3$$ This formula calculates the volume inside a sphere given its radius. 3. **Substitute the radius into the formula:** $$V = \frac{4}{3} \pi (1)^3 = \frac{4}{3} \pi$$ 4. **Calculate the numerical value:** $$V = \frac{4}{3} \times 3.1416 = 4.1888$$ 5. **Round to the nearest hundredth:** $$V \approx 4.19$$ **Final answer:** The volume of the sphere is approximately **4.19 cubic feet**.