1. **State the problem:** We need to find the volume of a cylinder with radius $r=4$ cm and length (height) $h=11$ cm. 2. **Formula for the volume of a cylinder:** $$V = \pi r^2 h$$ This formula calculates the volume by multiplying the area of the circular base ($\pi r^2$) by the height $h$. 3. **Substitute the values:** $$V = \pi \times 4^2 \times 11$$ 4. **Calculate the square of the radius:** $$4^2 = 16$$ So, $$V = \pi \times 16 \times 11$$ 5. **Multiply 16 and 11:** $$16 \times 11 = 176$$ So, $$V = \pi \times 176$$ 6. **Calculate the volume using $\pi \approx 3.1416$:** $$V \approx 3.1416 \times 176 = 552.92$$ 7. **Round to the nearest integer:** $$V \approx 553$$ **Final answer:** The volume of the cylinder is approximately **553 cm³**.