The table shows the amounts y (in tons) of waste left in a landfill after x months of waste relocation. Use the table to complete the statements. x 0 6 12 y 16 12 8 It takes Response months to empty the landfill.

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zsmart909

09.07.2020

Mathematics

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 $172.7 ft^{2} \approx 173 ft^{2}$

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The table shows the amounts y (in tons) of waste left in a landfill after x months of waste relocation. Use the table to complete the statements. x 0 6 12 y 16 12 8 It takes Response months to empty the landfill.​