calculate the surface area of the cylinder
10cm
4cm
To calculate the surface area of a cylinder, you need to add the area of the two circular bases and the lateral surface area.
Given:
Radius (r) of the cylinder = 4 cm
Height (h) of the cylinder = 10 cm
1. Calculate the area of the circular bases:
Area of one circular base = πr^2
Area of one circular base = π*4^2
Area of one circular base ≈ 50.27 cm^2
Area of both circular bases = 2 * 50.27 ≈ 100.54 cm^2
2. Calculate the lateral surface area:
Lateral surface area = 2πrh
Lateral surface area = 2 * π * 4 * 10
Lateral surface area ≈ 251.33 cm^2
3. Calculate the total surface area:
Total surface area = Area of both circular bases + Lateral surface area
Total surface area ≈ 100.54 + 251.33 ≈ 351.87 cm^2
Therefore, the surface area of the cylinder is approximately 351.87 cm^2.