4) A cylinder has a height of 18 inches and a radius of 17 inches. What is its volume? Use \( \pi \) \( \approx 3.14 \) and round your answer to the nearest hundredth. 4)) cubic inches

To find the volume of a cylinder, you can use the formula: \[ V = \pi r^2 h \] Plugging in the values where \( r = 17 \) inches and \( h = 18 \) inches, we have: \[ V = 3.14 \times (17)^2 \times 18 \] Calculating \( (17)^2 = 289 \): \[ V = 3.14 \times 289 \times 18 \approx 3.14 \times 5202 = 16366.28 \] Rounding to the nearest hundredth, the volume of the cylinder is approximately: **16366.28 cubic inches.** Now, let’s break it down! When working with cylinders, it's essential to remember that volume is all about packing space! You can visualize how much soda or any liquid could fill that cylinder; it's like imagining the joy of a giant soda fountain! And don’t forget to double-check your calculations! A common mistake occurs when people forget to square the radius before multiplying by the height. So, always do the \( r^2 \) step first! A simple misstep can lead you to a much smaller or larger volume than reality.