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 total surface area is 259.05 ft^2

Step-by-step explanation:

We need to find the surface area of a cylinder

SA =2pi r^2 + 2 pi rh

We need the radius = d/2 = 1/2 = .5

Substituting into the equation

SA = 2 * pi (.5)^2 + 2 pi (.5)7

SA = 2 pi (.25) + 2 pi 3.5

SA =7.5 pi

SA = 7.5*3.14

   =23.55

We have  11 posts that we need to paint, so we must multiply the surface area of one post times 11 posts

23.55*11=259.05

The total surface area is 259.05 ft^2

We cannot answer how much paint, because we are not given that information.  We can only tell you how much surface area there is for the 11 posts.

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