Ellis is painting wooden fenceposts before putting them in his yard. They are each 6 feet tall and have a diameter of 1 foot. There are 12 fenceposts in all. How much paint will Ellis need to paint all the surfaces of the 12 fenceposts? Use 3.14 for π, and round your answer to the nearest hundredth. Provide an explanation and proof for your answer to receive full credit.

The answer to your question is 414.48 ft²

Step-by-step explanation:

Data

height = 6 ft

diameter = 1 ft

# of fence posts = 12

amount of paint = ?

Formula

Area of a cylinder = πr² + 2πrh

Process

1.- Find the area of 1 cylinder

Area = (3.14 x 0.5) + (2 x 3.14 x 0.5 x 6)

Area = 15.7 + 18.84

Area = 34.54 ft²

2.- Calculate the area of 12 fencepost

Total area = 12 x 34.54

                = 414.48 ft²

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step-by-step explanation: