Question

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

Answer 1

204π units²

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

Answer 2

The lateral area of the cylinder is determined as 414.7 ft².

How to calculate the lateral area of the cylinder?

The lateral area of the cylinder is calculated by applying the following formula as shown below;

L.S.A = 2πrh

where;

• r is the radius of the cylinder
• h is the height of the cylinder

The given parameters include;

the radius of the cylinder = 6 ft

the height of the cylinder = 11 ft

The lateral area of the cylinder is calculated as follows;

L.S.A = 2πrh

L.S.A = 2π x 6 ft x 11 ft

L.S.A = 414.7 ft²

Thus, the lateral area of the cylinder is determined as 414.7 ft².