Ellis is painting wooden fenceposts before putting them in his yard. They are each 5 feet tall and have a diameter of 1 foot. There are 10 fenceposts in all. How much paint will Ellis need to paint all the surfaces of the 10 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 quantity of paint that will be needed will be that which can cover

Step-by-step explanation:

We will be working with the assumption that the fence posts are all cylindrical in shape. This is because we are given their diameters

The quantity of paint used will be equal to the total surface area of the cylinders.

Since the wooden poles can be represented by closed cylinders geometrically, the Total Surface Area is

r = radius of post = 0.5 feet

T. S. A =

Since there are 10 fence posts, the total surface area will be multiplied by 10. =  

As said earlier, the quantity of paint used will be equal to the total surface area of the cylindrical fence posts. Hence the quantity of paint that will be needed will be that which can cover