Find the lateral area for the cylinder with the given measurement. r = 4, h = 5

125.6 unit^2

Explanation:

1) The formula for the lateral area of a cylinder is:

Lateral area = 2 π * radius * height

That formula is developed from the fact that when you "open" the cylinder through a line on the lateral area and perpedicular to the bases of the cylinder, the resultant figure is a rectangle with length 2π * radius and width equal to the height of the cylinder.

2) Calculations:

Lateral area = 2 π * 4 * 5 = 40π ≈ 40 (3.14) = 125.6 units^2