The volume of a cylinder is 845 cubic feet. The height is 13.2 feet. Determine the radius of the cylinder. Round to the nearest hundredth, if necessary.

To find the radius of the cylinder, you can use the formula for the volume of a cylinder, which is V = πr²h. Given that the volume (V) is 845 cubic feet and the height (h) is 13.2 feet, you can rearrange the formula to solve for the radius (r). First, plug in the values: 845 = πr²(13.2). Now, divide both sides by (13.2π): r² = 845 / (13.2π). Calculating that gives r² ≈ 20.14. Taking the square root of both sides results in r ≈ 4.49 feet when rounded to the nearest hundredth. Got your radius? Perfect! Now imagine this: you could fit several of these cylinders in a pool or use them to visualize your next construction project. They’re not just abstract numbers; they’re structures that function in the real world! Next time you find a cylinder in your everyday life—like a drink can or a pipe—remember this equation! You can easily determine its dimensions, which can be super helpful in art projects, engineering designs, or even baking where cylinder shapes play a crucial role. Keep that math in your toolkit!