Final answer:
The surface area of the given cylinder is approximately 62.8 cm².
Step-by-step explanation:
To find the surface area of a cylinder, we need to calculate the area of the two circular ends and the curved surface. The area of the circular ends can be found using the formula A = πr², where r is the radius. The curved surface area can be found using the formula A = 2πrh, where r is the radius and h is the height.
For the given cylinder with a radius of 2 cm and a height of 4 cm:
Area of circular ends = π(2 cm)² = 4π cm²
Curved surface area = 2π(2 cm)(4 cm) = 16π cm²
Total surface area = Area of circular ends + Curved surface area = 4π cm² + 16π cm² = 20π cm²
Now, we can calculate the approximate value using π ≈ 3.14:
Total surface area ≈ 20(3.14) cm² ≈ 62.8 cm²