Ellis is painting wooden fenceposts before putting them in his yard. They are each 7 feet tall and have a diameter of 1 foot. There are 11 fenceposts in all. How much paint will Ellis need to paint all the surfaces of the 11 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.

Step-by-step explanation:

The fence posts are cylindrical. To determine how much paint is needed to paint the surfaces if each fence post, we need to determine the total surface area of each fence post. The formula for determining the total surface area of a cylinder is expressed as

Total surface area = 2πrh + 2πr²

r and h represents the radius and height of each fence post.

From the information given,

h = 7 feet

Diameter = 1 foot

r = diameter/2 = 1/2 = 0.5 foot

Total surface area = (2 × 3.14 × 0.5 × 7) + (2 × 3.14 × 0.5²)

= 23.55 square feet

Since the number of fence posts is 11, the total amount of paint needed should cover

23.55 × 11 = 259.05 square meters

the answer is b.

step-by-step explanation: