Answer:
To find the surface area of the cylinder, you need to calculate the area of the two circular bases and the lateral surface area.
Step-by-step explanation:
1. Area of the circular base:
- Radius = Diameter / 2 = 12 m / 2 = 6 m
- Area of one base = π * radius^2 = 3.14 * (6 m)^2
2. Lateral surface area:
- Circumference of the base = 2 * π * radius = 2 * 3.14 * 6 m
- Lateral surface area = Circumference * height = (2 * 3.14 * 6 m) * 7 m
3. Total surface area:
- Total surface area = 2 * (area of one base) + (lateral surface area)
Now, let's calculate:
1. Area of one base:
- Area = 3.14 * (6 m)^2 = 3.14 * 36 m²
2. Lateral surface area:
- Circumference = 2 * 3.14 * 6 m = 37.68 m
- Lateral surface area = 37.68 m * 7 m = 263.76 m²
3. Total surface area:
- Total surface area = 2 * 3.14 * 36 m² + 263.76 m² = 226.08 m² + 263.76 m²
Therefore, the total surface area of the cylinder is 489.84 m².
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