A cylinder has a base diameter of 6 centimeters and a height of 5 centimeters. What is its volume in cubic centimeters, to the nearest tenths place?

To find the volume of a cylinder, you can use the formula: Volume = π × r² × h. First, we need to determine the radius by dividing the diameter by 2. Here, the diameter is 6 cm, so the radius (r) is 3 cm. Now, substituting the values into the formula: Volume = π × (3 cm)² × (5 cm) = π × 9 cm² × 5 cm = 45π cm³. Calculating this gives approximately 141.4 cm³. So, the volume of the cylinder is about 141.4 cubic centimeters when rounded to the nearest tenths place. Using the volume of a cylinder can be quite handy in various real-world scenarios! If you’re baking cakes or filling containers, knowing the volume can help you determine how much batter or liquid you’ll need. For those in engineering or manufacturing, understanding volumes is crucial for designing tanks and pipes that effectively hold materials without overflow or waste. When calculating volume, don't forget to check your units! Common mistakes include mixing metric and imperial units or forgetting to square the radius. Always double-check your calculations and make sure you're using the right formulas, as a little misstep can lead to a significant difference in your results. And, when in doubt, practice makes perfect!