Question

Find the lateral area of the cylinder. Give your answer in terms of pi

Answer 1

Answer:

204π units²

Step-by-step explanation:

The lateral area of the cylinder includes both the side and the ends.

The area of the side can be found by calculating the circumference of the cylinder and multiplying that by the height:  A = 2π(6 units )(11 units) = 132π units².

The area of one end of this cylinder can be found by applying the "area of a circle" formula:  A = πr².  Here, with r = 6 units, A = π(6 units)² = 36π units².  Since the cylinder has two ends, the total area of the ends is thus 2(36π units) = 72π units.

The total lateral area of the cylinder is thus 72π units² + 132π units², or 204π units²