The lateral surface area \( A_L \) of a cylinder can be calculated using the formula:
\[ A_L = 2 \pi r h \]
where:
- \( r \) is the radius of the cylinder,
- \( h \) is the height of the cylinder.
Given:
- The diameter of the cylinder is 14 meters, so the radius \( r \) is half of that:
\[ r = \frac{14}{2} = 7 \text{ meters} \]
- The height \( h \) is given as 12 meters.
Now, substituting the values into the formula:
\[ A_L = 2 \pi (7) (12) \] \[ A_L = 2 \pi \times 7 \times 12 \] \[ A_L = 168 \pi \text{ square meters} \]
Using the approximate value of \( \pi \approx 3.14 \):
\[ A_L \approx 168 \times 3.14 \approx 526.32 \text{ square meters} \]
The closest answer from the given options is:
527.79 sq. meters.
1 answer