Question

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.

Answer 1

are you trying to find the area

Answer 2

or the volume

Answer 3

I need to find the SA

Answer 4

surafce area

Answer 5

yeah

Answer 6

okay so what shape is it

Answer 7

It doesn't tell me

Answer 8

Im assuming its a rectangle

Answer 9

i thought it was a cylinder

Answer 10

Yea idk maybe

Answer 11

okay so sayng its a cylinder

Answer 12

do you know how to find the radius from the diameter?

Answer 13

Divide it by 2

Answer 14

ye

Answer 15

So for the formula for finding it is

Answer 16

2(3.14)rh^2 + 2(3.14)rh^2

Answer 17

you know what they stand for right

Answer 18

R = Radius H = Height

Answer 19

yes

Answer 20

So first find the SA for 1 fencepost

Answer 21

the fenceposts are shaped like cylinders, I presume. it states that all the surfaces of all the cylinders must be painted, so I presume you just need to calculate the surface area of 10 cylinders with the given dimensions

SA = 2(pi)(r)(h) + 2(pi)r^2

plug in the radius, height, and find SA, then multiply by 10 fenceposts.

Answer 22

so the radius is .5

Answer 23

yeah

Answer 24

the units are feet, so the units of SA are square feet

I haven't checked the calculation yet, but assuming your answer is correct, 172.2 square feet of paint

Answer 25

Tony why you copy-paste from the other question I saw that confused me

Answer 26

zuna thanks you for doing it slow with me so I could understand

Answer 27

your welcome

Answer 28

alright so i got 17.27 from using the formula

Answer 29

and then i just multiply by 10

Answer 30

17.27 for once fencepost so then you just multiply it by 10 to find it for All the fenceposts

Answer 31

yeah u right