1. **State the problem:** We need to approximate the volume of a cylinder with radius $r=2$ cm and height $h=12$ cm. 2. **Formula for the volume of a cylinder:** $$V = \pi r^2 h$$ where $r$ is the radius and $h$ is the height. 3. **Substitute the given values:** $$V = 3.14 \times 2^2 \times 12$$ 4. **Calculate the radius squared:** $$2^2 = 4$$ 5. **Calculate the volume:** $$V = 3.14 \times 4 \times 12$$ 6. **Multiply step-by-step:** $$3.14 \times 4 = 12.56$$ $$12.56 \times 12 = 150.72$$ 7. **Round to the nearest cubic unit:** $$V \approx 151 \text{ cm}^3$$ **Final answer:** The volume of the cylinder is approximately **151 cm³**.