1. **State the problem:** Calculate the volume $V$ of a cone using the formula given. 2. **Formula:** The volume of a cone is given by $$V = \frac{1}{3} \pi r^2 h$$ where $r$ is the radius and $h$ is the height. 3. **Identify values:** Here, $\pi \approx 3.1416$, $r = 3$ (since $r^2 = 27$ means $r = \sqrt{27} = 3\sqrt{3}$ but the problem uses 27 directly as $r^2$), and $h = 9$. 4. **Calculate:** Substitute the values: $$V = \frac{1}{3} \times 3.1416 \times 27 \times 9$$ 5. **Simplify:** $$V = \frac{1}{3} \times 3.1416 \times 243$$ 6. **Multiply:** $$3.1416 \times 243 = 762.0468$$ 7. **Divide by 3:** $$V = \frac{762.0468}{3} = 254.0156$$ **Final answer:** $$V \approx 254.02$$ cubic units.