4) A cylinder has a height of 8 meters and a radius of 13 meters. What is its volume? Use \( \pi \) \( \approx 3.14 \) and round your answer to the nearest hundredth. 4)) cubic meters

To find the volume of a cylinder, you can use the formula \( V = \pi r^2 h \). Plugging in the height of 8 meters and the radius of 13 meters, we calculate: \( V \approx 3.14 \times (13^2) \times 8 = 3.14 \times 169 \times 8 \approx 3.14 \times 1352 \approx 4243.68 \). So, the volume of the cylinder is approximately \( 4243.68 \) cubic meters when rounded to the nearest hundredth. If you're creating a model or project with a cylindrical shape, knowing how to calculate volume can be incredibly handy! This helps in understanding the amount of space your cylinder will occupy, whether it's for a water tank, a can, or even a decorative element. Remember that volume gives you insight into capacity in real-world applications, making it essential for design and functionality. When calculating the volume, a common mistake is forgetting to square the radius before multiplying by the height. Ensure you square the radius (multiply it by itself) first, as this step is crucial for accurate results. Always double-check your calculations to avoid simple mishaps – they can lead to big errors!