3 answers
To find the surface area of a cylinder, you can use the formula:
\[ \text{Surface Area} = 2\pi r(h + r) \]
where \( r \) is the radius and \( h \) is the height of the cylinder.
To proceed, we need the values of \( r \) and \( h \). However, since these values are not given in your question, I am unable to calculate the surface area accurately.
Could you please provide the radius and height of the cylinder? Once I have those values, I can compute the surface area for you.
To find the surface area of a cylinder, we need the radius and the height. In your case, the width you've provided typically refers to the diameter of the cylinder. The radius (\(r\)) is half of the diameter.
Given:
Now we can use the surface area formula:
\[ \text{Surface Area} = 2\pi r(h + r) \]
Substituting \(r = 3.5\) yards and \(h = 8\) yards and using \(\pi \approx 3.14\):
\[ \text{Surface Area} = 2 \times 3.14 \times 3.5 \times (8 + 3.5) \]
Calculating \(h + r\):
\[ 8 + 3.5 = 11.5 \]
Now plug this back into the surface area formula:
\[ \text{Surface Area} = 2 \times 3.14 \times 3.5 \times 11.5 \]
Calculating \(2 \times 3.14 = 6.28\):
Now we calculate:
\[ \text{Surface Area} = 6.28 \times 3.5 \times 11.5 \]
Calculating \(3.5 \times 11.5 = 40.25\):
So,
\[ \text{Surface Area} = 6.28 \times 40.25 \approx 253.69 \]
Thus, the approximate surface area of the cylinder is:
\[ \text{Surface Area} \approx 253.69 \text{ square yards} \]
Now comparing it with the provided options, the closest answer seems to be 252.77 square yards, although the precise calculation may slightly differ due to rounding.
Therefore, the answer is 252.77 square yards.
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