28. What is the volume of a cylinder with a radius of 8 inches and a height of 1 foot? Round to the nearest tenth. \( \begin{array}{ll}\text { F } 25.1 \mathrm{in}^{3} & \text { H } 301.6 \mathrm{in}^{3} \\ \text { G } 201.1 \mathrm{in}^{3} & \text { J } 2412.7 \mathrm{in}^{3}\end{array} \)

To find the volume of a cylinder, you can use the formula \( V = \pi r^2 h \). First, you need to ensure the units are consistent. The radius is 8 inches, and the height must also be in inches, so convert 1 foot to inches, which equals 12 inches. Plugging in the values, we have: \[ V = \pi (8^2)(12) = \pi (64)(12) = 768\pi \] Using \( \pi \approx 3.14 \), the volume calculates to approximately 2412.7 cubic inches. Therefore, the answer is J) 2412.7 in³. Isn't it amazing how a simple formula can unlock the volume of 3D shapes? Cylinders are all around us – from cans of soup to drinking glasses, they play a huge role in both practical design and everyday life. Next time you grab a cylindrical object, you'll have a new appreciation for its geometry! If you're diving deeper into geometry, consider exploring how volume changes with variations in radius or height. You might find it surprising how much difference a small change can make! Also, don't forget to check out real-world applications of cylinders, such as how engineers calculate the strength and stability of structures using different materials and shapes. Happy exploring!