Fins the surface area of the cylinder below use the approximation 3.14 for pi radius =5cm height =15cm
To find the surface area of a cylinder, we need to calculate the areas of the two bases and the lateral surface area.
1. Base Area:
The formula for the area of a circle is given by A = πr^2, where A is the area and r is the radius. So, the area of one base of the cylinder is:
A1 = π(5cm)^2
= 3.14 * 25 cm^2
≈ 78.5 cm^2
Since there are two bases, the total base area is:
A_base = 2 * A1
= 2 * 78.5 cm^2
= 157 cm^2
2. Lateral Surface Area:
The lateral surface area of a cylinder is given by the formula A_lateral = 2πrh, where r is the radius and h is the height of the cylinder. So, the lateral surface area is:
A_lateral = 2 * 3.14 * 5cm * 15cm
≈ 471 cm^2
3. Total Surface Area:
The total surface area of a cylinder can be found by summing the base area and the lateral surface area:
A_total = A_base + A_lateral
= 157 cm^2 + 471 cm^2
= 628 cm^2
Therefore, the surface area of the given cylinder is approximately 628 cm^2.