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, \( h \) is the height, and \( \pi \) is approximately 3.14.
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Find the radius: Since the diameter is given as 7 yards, the radius \( r \) is half of the diameter. \[ r = \frac{7 \text{ yd}}{2} = 3.5 \text{ yd} \]
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Use the height: The height \( h \) is given as 8 yards.
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Substitute the values into the formula: \[ \text{Surface Area} = 2\pi (3.5 \text{ yd})(8 \text{ yd} + 3.5 \text{ yd}) \] \[ = 2\pi (3.5 \text{ yd})(11.5 \text{ yd}) \] \[ = 2\pi (40.25 \text{ yd}^2) \] \[ = 80.5\pi \text{ yd}^2 \]
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Calculate the approximate value (using \( \pi \approx 3.14 \)): \[ \text{Surface Area} \approx 80.5 \times 3.14 \approx 252.07 \text{ yd}^2 \]
Thus, the surface area of the cylinder is approximately \( 252.07 \text{ yd}^2 \).
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