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.

244.92ft^2

Step-by-step explanation:

Given the following :

Height (h) of fence post = 6

Diameter = 1 foot

Using the total surface area of a cylinder relation:

2πrh + 2πr^2

2π(rh + r^2)

Where r = radius, π =3.14

r = diameter /2 = 1/2 = 0.5

2 * 3.14(rh + r^2)

6.28((0.5*6) + (0.5)^2)

6.28(3 + 0.25)

6.28(3.25)

= 20.41 ft^2

Therefore, to paint 12 fence posts :

12 * 20.41ft^2 = 244.92ft^2

244.92ft^2

the answer is c. 23/3