1. The problem is to find the volume of a cylinder with radius $r=70$ cm and height $h=18$ cm. 2. The formula for the volume of a cylinder is: $$V=\pi r^2 h$$ where $\pi$ is approximately 3.1416, $r$ is the radius, and $h$ is the height. 3. Substitute the given values into the formula: $$V=\pi \times 70^2 \times 18$$ 4. Calculate $70^2$: $$70^2=4900$$ 5. Multiply the values: $$V=\pi \times 4900 \times 18$$ 6. Multiply $4900 \times 18$: $$4900 \times 18=88200$$ 7. So the volume is: $$V=88200\pi$$ 8. To get a numerical approximation, multiply by $\pi \approx 3.1416$: $$V \approx 88200 \times 3.1416 = 277088.47\text{ cm}^3$$ Therefore, the volume of the cylinder is approximately $277088.47$ cubic centimeters.