### Home > GC > Chapter 11 > Lesson 11.1.1 > Problem11-9

11-9.

The lateral surface of a cylinder is the surface connecting the bases. For example, the label from a soup can would represent the lateral surface of a cylindrical can. If the radius of a cylinder is $4$ cm and the height is $15$ cm, find the lateral surface area of the cylinder. Note: It may help you to think of “unrolling” a soup can label and finding the area of the label.

circumference of top $= 2πr = 8π$ cm

$\left(8\pi\right)\left(15\right)=120\pi=377\text{ cm}^2$

 top edge circumference of top rectangle interior right edge$15 \text{ cm}$