1. **State the problem:** We need to find the volume of an oblique cylinder with a base radius of 4 m and a height of 10 m. 2. **Recall the formula for the volume of a cylinder:** The volume $V$ of a cylinder (right or oblique) is given by $$V = \pi r^2 h$$ where $r$ is the radius of the base and $h$ is the height (perpendicular distance between the bases). 3. **Substitute the given values:** Given $r = 4$ m, $h = 10$ m, and $\pi = 3.14$, we have $$V = 3.14 \times 4^2 \times 10$$ 4. **Calculate the volume:** First, calculate $4^2 = 16$. Then, $$V = 3.14 \times 16 \times 10 = 3.14 \times 160 = 502.4$$ 5. **Round the answer:** Rounding 502.4 to the nearest whole number gives 502. 6. **Include the correct unit:** Since volume is in cubic meters, the final answer is $$\boxed{502\ \text{m}^3}$$ **Final answer:** The volume of the oblique cylinder is 502 cubic meters.