1. **State the problem:** We need to find the length (height) of a cylinder given its radius and volume. 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 (length) of the cylinder. 3. **Given values:** - Radius $r = 3$ cm - Volume $V = 250$ cm³ 4. **Rearrange the formula to solve for $h$:** $$h = \frac{V}{\pi r^2}$$ 5. **Substitute the known values:** $$h = \frac{250}{\pi \times 3^2} = \frac{250}{\pi \times 9}$$ 6. **Simplify the denominator:** $$h = \frac{250}{9\pi}$$ 7. **Calculate the numerical value:** $$h \approx \frac{250}{28.274} \approx 8.84$$ 8. **Final answer:** The length of the cylinder is approximately **8.84 cm** to 2 decimal places.