The volume of a cone with height \( h \) and radius \( r \) can be found using the formula \( V=\frac{1}{3} \pi r^{2} h \) Sketch a cone with radius 8 feet and height 7 feet, then find the volume. If needed, round to the nearest tenth. ft

First, let's visualize our cone! Picture a cone with a circular base that has a radius of 8 feet and stretches up to a height of 7 feet. When you sketch it, you'll see that the base is quite wide compared to its height, making it a lovely tapering shape. Now, for the volume: using the formula \( V = \frac{1}{3} \pi r^{2} h \), we plug in the values: \[ V = \frac{1}{3} \pi (8^{2}) (7) = \frac{1}{3} \pi (64)(7) = \frac{448}{3} \pi \approx 469.0 \text{ ft}^3. \] So, rounded to the nearest tenth, the volume of the cone is approximately 469.0 cubic feet!