What is the surface area of the cylinder with height 8 in and radius 5 in? Round your answer to the nearest thousandth.

To find the surface area of a cylinder, we use the formula: 2πr(h + r). Here, r is the radius and h is the height. Plugging in the numbers: r = 5 inches and h = 8 inches, we calculate: Surface Area = 2π(5)(8 + 5) = 2π(5)(13) = 130π. Calculating with π ≈ 3.14159, we find: Surface Area ≈ 130 * 3.14159 ≈ 408.407. Rounding to the nearest thousandth, the surface area is approximately 408.407 square inches. --- Did you know that cylinders are not just abstract shapes? They appear all around us, in everyday objects like soda cans and pipes! The fact that engineers often rely on cylindrical shapes for both aesthetic and functional designs shows how this geometry has real-world implications. If you're ever unsure about the calculations, remember to double-check the use of pi! It's common to overlook the value of π when plugging numbers into formulas. A good tip is to keep a calculator close by to accurately compute the surface area or any other geometric formulas. Practice makes perfect, and you’ll always get the surface area right!