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.

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.

25 questions , because they start with 100.  

350-100=250 .  

. 250/10=25

step-by-step explanation:

first take off 100, then what x 10 = 250? that is your answer. (25)