Ellis is painting wooden fenceposts before putting them in his yard. they are each 7 feet tall and have a diameter of 1 foot. th

Question

2 years ago

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Ellis is painting wooden fenceposts before putting them in his yard. they are each 7 feet tall and have a diameter of 1 foot. th

ere are 11 fenceposts in all. how much paint will ellis need to paint all the surfaces of the 11 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.

Mathematics

1 answer:

Stells [14] · Answer 1 · 2023-06-22T12:30:08+03:00

Hence, Ellis will need 259.05 unit paint to paint all surfaces of 11 fenceposts.

<h2>What is the surface area of a cylinder?</h2>

If, Radius of the cylinder be r and height of the cylinder be h,

Then, Surface area (A) = sq. unit

<h3>How to solve?</h3>

Ellis is painting wooden fenceposts which are of cylindrical shape.

The height of a fencepost (h) = 7 feet

The diameter of a fencepost = 1 foot

So, The radius of a fencepost (r) = foot

Given, the value of $\pi \\$ is 3.14

∴ The surface area of a fencepost (A) =

= (2×3.14××7)+(2×3.14×) sq. feet

= (21.98+1.57) sq. feet

= 23.55 sq. feet

For 1 fencepost, Paint needed = 23.55 unit

For 11 fenceposts, Paint needed = 23.55×11 unit

= 259.05 unit

Hence, 259.05 unit paint is needed for 11 fenceposts.

to learn more about surface area: brainly.com/question/27617975

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