Mathematics, 22.05.2020 04:04 webbjalia04

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

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Answer from: zanaplen27

The quantity of paint that will be needed will be that which can cover $\approx 173 ft^{2}$

Step-by-step explanation:

We will be working with the assumption that the fence posts are all cylindrical in shape. This is because we are given their diameters

The quantity of paint used will be equal to the total surface area of the cylinders.

Since the wooden poles can be represented by closed cylinders geometrically, the Total Surface Area is

$2\pi rh+2\pi r^{2}$

r = radius of post = 0.5 feet

T. S. A = $2\times 3.14 \times 0.5 \times 5 + 2 \times 3.14 \times0.5^{2}= 17.27ft^{2}$

Since there are 10 fence posts, the total surface area will be multiplied by 10. = $17.27 \times 10 = 172.7 ft^{2}$

As said earlier, the quantity of paint used will be equal to the total surface area of the cylindrical fence posts. Hence the quantity of paint that will be needed will be that which can cover $172.7 ft^{2} \approx 173 ft^{2}$

Answer from: Quest

I'll do the first one for you. it isn't very hard at all.on number one, you have (50 × 3), which equals 150, and (3 × 3), which equals 9. after you establish that, you add 150 and 9 together. so, (150 + 9) equals 159.this means that 53 × 3 = 159.

Answer from: Quest

there has been genes found in the x chromosome of males that have been linked to [homo/hetero]sexuality. in addition to the reign of the x chromosome, a section of chromosome 8 has also been link to, "alot of ppl are so " these facts were proven true after a 2014 study of a gay male and his strait brother. according to newscientist.com,"chromosome 14 and is mainly active in the thyroid, but also the brain. called tshr, it makes a type of receptor protein that recognises and binds to a hormone that stimulates the thyroid. in this way, the gene plays an important role in controlling thyroid function. the fact that tshr seems to be involved in sexual orientation fits with evidence that thyroid function seems to be linked to sexuality."

in conclusion, "ppl are so gay" due to their genetics.

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Ellis is painting wooden fenceposts before putting them in his yard. They are each 5 feet tall and h...