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 t

Ellis will need to use paint for 226.08 square feet of fenceposts.

Step-by-step explanation:

Surface Area

Each wooden fencepost can be modeled as a cylinder of radius r and height h. The surface area of a cylinder is:

The diameter of each fencepost is 1 foot, thus the radius is r=1/2=0.5 feet. The height is h=6 feet.

Calculating the surface area of each fencepost:

Ellis will put 12 fenceposts in his yard, thus the total surface area is:

Ellis will need to use paint for 226.08 square foot of fenceposts.

Note: The real amount of paint should be calculated as a volume and the thickness of the paint on each fencepost should have been provided.

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)

$9.89

step-by-step explanation:

9.90 = p x .06 x .25 (3/12 changed to a decimal)

9.90 = p x 0.015

9.90 - 0.015 = p

9.89 = p