surface area of cylinders practice find the surface area of a cylinder with the radius of four CM and a height of two CM use the approximation of 3.14 for pi
To find the surface area of a cylinder, we need to calculate the area of both the circular bases and the lateral surface area.
1) Area of the circular bases:
The formula to calculate the area of a circle is A = πr^2, where A is the area and r is the radius.
For the top circular base:
A1 = π(4 cm)^2
A1 ≈ 3.14 * 16
A1 ≈ 50.24 cm^2
For the bottom circular base (which will have the same area as the top base):
A2 ≈ A1
A2 ≈ 50.24 cm^2
2) Lateral surface area:
The lateral surface area of a cylinder can be calculated using the formula A = 2πrh, where A is the area, r is the radius, and h is the height.
A3 = 2π(4 cm)(2 cm)
A3 ≈ 2 * 3.14 * 8
A3 ≈ 50.24 cm^2
3) Total surface area:
The total surface area of the cylinder can be found by summing the areas of the circular bases and the lateral surface area.
Total surface area = A1 + A2 + A3
Total surface area ≈ 50.24 cm^2 + 50.24 cm^2 + 50.24 cm^2
Total surface area ≈ 150.72 cm^2
Therefore, the surface area of the given cylinder is approximately 150.72 cm^2.