Question

Find the lateral area of the cylinder. Give answer in terms of pi. 6ft is the radius and 11ft is the height.

Answer 1

Answer:

$132\pi$

Step-by-step explanation:

The lateral area is the area of a rectangle. Think of a soup can with the label removed and laid out flat on a table.  The height of the rectangle is the same as the height of the can (cylinder).  Where does the base of the rectangle come from?  It's the circumference of the can "unrolled."

Area of a rectangle = base x height

Circumference of a circle $C=2\pi r$

Lateral Area $=2\pi r \times h$ $=2 \pi (6)(11) =132\pi$