Question: The cylinder below has a radius of $4$ cm and a length of $11$ cm.
Work out the volume of the cylinder.
Give your answer to the nearest integer.
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:**
$$V = \pi r^2 h$$
where $r$ is the radius and $h$ is the height (length) of the cylinder.
3. **Substitute the values:**
$$V = \pi \times 4^2 \times 11$$
4. **Calculate the square of the radius:**
$$4^2 = 16$$
5. **Calculate the volume:**
$$V = \pi \times 16 \times 11 = 176\pi$$
6. **Approximate using $\pi \approx 3.1416$:**
$$V \approx 176 \times 3.1416 = 552.92096$$
7. **Round to the nearest integer:**
$$V \approx 553$$
**Final answer:** The volume of the cylinder is approximately $553$ cubic centimeters.