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Mathematics 22 Online
thisthatyuh:

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.

silvernight269:

You first need to fine the surface area of one fencepost. Then multiply 10 of that answer.

silvernight269:

@thisthatyuh

thisthatyuh:

Thats all? @silvernight269

thisthatyuh:

how do I find surface area

silvernight269:

The surface area of a cylinder

silvernight269:

2πrh+2πr^2

thisthatyuh:

h is 5 and r is 1/2?

silvernight269:

yep

thisthatyuh:

2*pi*1/2*5 + 2*pi*1/2^2 = 17.2787595947

thisthatyuh:

now what I do

thisthatyuh:

multiply by 10?

thisthatyuh:

why was the surface area a cylinder

darkknight:

Jw, is there anything else associated with this problem? Like diagrams or other supporting images? If so, upload them.

thisthatyuh:

Sorry no :(

darkknight:

But as @silvernight269 mentioned, if it is a cylindrical fence post, then do what she did. But we have no way of knowing because you didn't provide us what type of post it is

darkknight:

The reason why is could be cylindrical is because... |dw:1588787143164:dw| Where the line in the middle of the circle is the diameter

thisthatyuh:

okie so I just find the surface area, then multiply that by 10?

darkknight:

Thus, you have 2 different answers. Answer one: Surface area of the cylinder where your diameter is 1 (radius is half) and height is 5 Answer 2: surface area of a rectangular prism where side length is 1, and height is 5.

darkknight:

And the multiply by ten for both

darkknight:

^ is your explanation

TheSmartOne:

Nah, there should only be one answer and it will be a cylinder post otherwise there would be no reason for it to use the word diameter and also tell you to use 3.14 for pi

TheSmartOne:

Silverknight is correct

darkknight:

Oh yeah, that is true. Just the first answer, Ignore the rectangular one

thisthatyuh:

ok

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