To find the lateral surface area (LSA) of a cylinder, you can use the formula:
\[ \text{LSA} = 2\pi rh \]
where \( r \) is the radius and \( h \) is the height of the cylinder.
- Calculate the radius: The diameter is given as 14 meters, so the radius \( r \) is half of that:
\[ r = \frac{\text{diameter}}{2} = \frac{14}{2} = 7 \text{ meters} \]
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Use the given height: The height \( h \) is given as 12 meters.
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Substitute the values into the LSA formula:
\[ \text{LSA} = 2\pi(7)(12) \]
Calculating:
\[ \text{LSA} = 2 \times \pi \times 7 \times 12 = 168\pi \]
- Approximate \(\pi\) as 3.14 for calculation:
\[ \text{LSA} \approx 168 \times 3.14 \approx 526.32 \text{ square meters} \]
When rounded, this value is closest to 527.79.
Therefore, the correct answer is 2. 527.79.
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