# Lateral Area of a Cylinder

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The lateral area of a cylinder is the area of the curved surface of the cylinder. If we unfold the lateral surface

of the cylinder, we get a rectangle. The measure of the area of the rectangle is the lateral area of the

cylinder.  The lateral area of the cylinder can be found by using the formula

L.A. = pi * r2 * h

where r is the radius of the cylinder,

h is the height of the cylinder

Example 1: What is the lateral area of the cylinder with radius equal to 6 cm and height equal to 14 cm.

Solution: Lateral area of the cylinder can be found using the formula,

L.A. = pi * r2 * h         = 22 / 7 * 62 * 14

L.A. = 11088 / 7        = 1584

Thus the lateral area of the given cylinder is 1584 square centimeters.

Example 2: The lateral surface of a barrel in the shape of a cylinder is to be painted. The height of the

barrel is 7 feet and radius is 2 feet. What is the cost of painting if cost per square foot is \$1.5.

Solution: The lateral area of the cylinder can be found using the formula,

L.A. = pi * r2 * h         = 22/7 * 22 * 7 = 616 / 7 = 88 square feet

Cost of painting one square foot of the area = \$ 1.5

Cost of painting the lateral surface of the cylinder = 88 * 1.5 = \$132.