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Mathematics 10 Online
Kyky232:

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

Kyky232:

@snowflake0531

snowflake0531:

Assuming you don't care about the fact that Ellis doesn't need to paint the whole thing because some part of it is on the ground -.-

snowflake0531:

So then we do \[surface ~area ~of~cylinder= 2(\pi r^2) + 2\pi r (h)\]

snowflake0531:

So use that to find the surface area of one fencepost, then multiply it by 10 to get your answer

Kyky232:

what does r stand for

snowflake0531:

R is radius, and radius is half of diameter

Kyky232:

so it would be 0.5 right

snowflake0531:

yes

Kyky232:

would it be 172.7

Kyky232:

what would the unit be

snowflake0531:

It would be 172.7 feet squared

Kyky232:

did i get it right?

snowflake0531:

yes

Kyky232:

It asks how much paint they would need though. How do i calculate this?

snowflake0531:

Yes... that's your answer...

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