ade W. 4 Volume of cones YYR A cone has a height of 20 meters and a radius of 16 meters. What is its volume? Use \( \pi \approx 3.14 \) and round your answer to the nearest hundredth. Submit

To find the volume of a cone, we use the formula \( V = \frac{1}{3} \pi r^2 h \). Plugging in the values, where the height \( h = 20 \) meters and the radius \( r = 16 \) meters: 1. Calculate the base area: \( r^2 = 16^2 = 256 \). 2. Now, calculate the volume using the formula: \( V = \frac{1}{3} \times 3.14 \times 256 \times 20 \). \( V = \frac{1}{3} \times 3.14 \times 5120 \). \( V \approx \frac{1}{3} \times 16071.68 \). \( V \approx 5357.22 \) cubic meters. So, the volume of the cone is approximately 5357.22 cubic meters when rounded to the nearest hundredth. Now, let's dive into some additional fun information: Did you know that the ancient Egyptians utilized cone-shaped structures in their architecture, particularly in the design of the pyramids? These structures, which can be thought of as a grander version of a cone, showcased their understanding of geometry long before calculators or modern math existed. They were not only tombs but also a testament to the engineering prowess of that era! In the realm of real-world applications, cones aren't just for ice cream! They're used in various fields, such as traffic management (think of traffic cones) and even in architecture for roof designs. Understanding the volume of cones can help improve designs in these areas, ensuring that structures are both aesthetic and functional while considering factors like drainage and stability. So next time you enjoy an ice cream cone, remember it's not just a treat—it's geometry in action!