BRAINLEST ANSWER!!!!!!! Ellis is painting wooden fenceposts before putting them in his yard. They are each 7 feet tall and have a diameter o

Question

BRAINLEST ANSWER!!!!!!! Ellis is painting wooden fenceposts before putting them in his yard. They are each 7 feet tall and have a diameter of 1 foot. There 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.

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Thành Đạt 5 years 2021-08-17T21:05:40+00:00 2 Answers 1638 views 0

Answers ( )

  1. thaiduong
    0
    2021-08-17T21:07:14+00:00
    Reply

    Answer:

    259.05\:\mathrm{ft^2}

    Step-by-step explanation:

    It is implied that Ellis’s fenceposts are cylinders and that he will paint the total surface area of each cylinder, even though the base will be touching the ground.

    The total surface area of a cylinder with radius r and height h is equal to SA=2\cdot r^2\pi \cdot 2r\pi h.

    By definition, all radii of a circle are exactly half of the diameter. Therefore, if the diameter is 1 foot, the radius must be half a foot. We’re given a height of 7 feet.

    What we know:

    • r of 1/2 feet
    • h of 7 feet
    • 11 fenceposts total

    Substituting r=0.5 and h=7 into SA=2\cdot r^2\pi \cdot 2r\pi h and using \pi=3.14 as requested in the problem, we get:

    SA=2\cdot 0.5^2\cdot 3.14+2\cdot 0.5\cdot3.14 \cdot 7,\\SA=23.55\:\mathrm{ft^2}

    Since there are eleven fenceposts, multiply this value by 11 to get the total paint needed, in square feet, for all eleven fenceposts:

    23.55\cdot 11=\boxed{259.05\:\mathrm{ft^2}}

  2. Jezebel
    1
    2021-08-17T21:07:31+00:00
    Reply

    Answer:

    259.05 Square Feet of paint needed.

    Step-by-step explanation:

    In order to solve, we need to plug our values into the formula for a cylinder.

    V = 2(pi) r h + 2(pi) r^2

    Knowing this, our formula would be…

    V = 2(3.14) x 1/2 x 7 + 2(3.14) x 1/2^2.

    Breaking it down….

    V = 21.98 + 1.57 = 23.55

    Now taking our total of one fencepost we must multiply it by 11 (the amount of total fence posts).

    23.55 x 11 = 259.05 Square feet of paint needed.

    🙂 You’re welcome.

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