1. **State the problem:** We need to find the height of a cylinder given its volume and radius. 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. **Given values:** - Volume $V = 7.85$ ft³ - Radius $r = 1$ ft - Use $\pi = 3.14$ 4. **Substitute the known values into the formula:** $$7.85 = 3.14 \times 1^2 \times h$$ 5. **Simplify:** $$7.85 = 3.14 \times h$$ 6. **Solve for $h$ by dividing both sides by 3.14:** $$h = \frac{7.85}{3.14}$$ 7. **Show cancellation:** $$h = \frac{\cancel{7.85}}{\cancel{3.14}} \times \frac{7.85}{3.14}$$ 8. **Calculate:** $$h \approx 2.5$$ **Final answer:** The approximate height of the cylinder is **2.5 ft**.