The lateral surface area (LSA) of a cylinder can be calculated using the formula:
\[ \text{LSA} = 2 \pi r h \]
where \( r \) is the radius and \( h \) is the height of the cylinder.
Given:
- Radius (\( r \)) = 2.5 meters
- Height (\( h \)) = 7 meters
- Using \( \pi \approx 3.14 \)
Now, plug in the values into the formula:
\[ \text{LSA} = 2 \times 3.14 \times 2.5 \times 7 \]
Calculating step by step:
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Calculate \( 2 \times 3.14 \): \[ 2 \times 3.14 = 6.28 \]
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Multiply by the radius (\( 2.5 \)): \[ 6.28 \times 2.5 = 15.7 \]
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Finally, multiply by the height (\( 7 \)): \[ 15.7 \times 7 = 109.9 \]
So, the lateral surface area is:
\[ \text{LSA} \approx 109.9 \text{ square meters} \]
Therefore, the lateral surface area of the cylinder is approximately 109.9 square meters.