Question

The lateral surface area of a cylinder with a height of 12 meters and a diameter of 14 meters is

307.88 sq meters
527.79 sq meters
1055.58 sq meters

Answer 1

To calculate the lateral surface area (LSA) of a cylinder, you can use the formula:

\[
\text{LSA} = 2 \pi r h
\]

where \( r \) is the radius and \( h \) is the height of the cylinder.

1. **Determine the radius**: The diameter is given as 14 meters, so the radius \( r \) is half of that:
\[
r = \frac{diameter}{2} = \frac{14}{2} = 7 \text{ meters}
\]

2. **Height**: The height \( h \) is given as 12 meters.

3. **Plug in the values**:
\[
\text{LSA} = 2 \pi (7) (12)
\]
\[
\text{LSA} = 2 \pi (84)
\]
\[
\text{LSA} = 168 \pi
\]

4. **Calculate using \(\pi \approx 3.14\)**:
\[
\text{LSA} \approx 168 \times 3.14 \approx 526.92 \text{ square meters}
\]

Based on the options given, the closest value is **527.79 sq meters**.