The exterior of a lamp post is to be painted. The lamp post is a 14-foot tall cylinder with a diameter of 18 inches. Since the base is on the ground and the top is covered by a floodlight, you will not need to paint these pieces. What is the area that needs to be painted?
To find the surface area that needs to be painted, we first need to calculate the lateral surface area of the cylinder. The formula for the lateral surface area of a cylinder is 2πrh, where r is the radius and h is the height of the cylinder.
First, we need to convert the diameter to radius by dividing it by 2:
Radius = 18 inches / 2 = 9 inches
Now, we can calculate the lateral surface area:
Lateral Surface Area = 2π(9 inches)(14 feet * 12 inches/foot) = 2π(9)(168) = 3024π square inches
Therefore, the area that needs to be painted on the lamp post is approximately 9506.94 square inches.