3. The cylindrical package is made out of cardboard. In terms of \( \pi \), how much cardboard was used to make the package? Lesson \( 8-1 \)

To find the amount of cardboard used in making a cylindrical package, you would need to calculate the surface area of the cylinder. The surface area \( A \) of a cylinder can be given by the formula \( A = 2\pi r^2 + 2\pi rh \), where \( r \) is the radius and \( h \) is the height. This includes the top, bottom, and the curved surface of the cylinder. Once you plug in the values for the radius and height, you can find out how much cardboard was used! When measuring the radius and height, ensure all measurements are in the same units for accurate calculations. A common mistake is forgetting to include both the top and bottom areas in your final calculation. If you only calculate the lateral surface area, you’ll underestimate the amount of cardboard used!