find the surface area of the cylinder
radius = 11 inches
height = 13 inches
To find the surface area of a cylinder, we need to calculate the areas of the two circular bases and the lateral surface area.
1. Area of the two circular bases:
The formula to calculate the area of a circle is A = π*r^2. Since we have the radius of 11 inches, we can calculate the area of a single base:
A_base = π*11^2
A_base = 121π
Since there are two bases in a cylinder, we multiply the area of one base by 2:
Total base area = 2*121π
Total base area = 242π
2. Lateral surface area:
The lateral surface area of a cylinder can be calculated using the formula A = 2πrh, where r is the radius and h is the height of the cylinder. Substituting the given values:
Lateral surface area = 2π*11*13
Lateral surface area = 286π
3. Total surface area:
The total surface area of a cylinder is the sum of the areas of the two bases and the lateral surface area:
Total surface area = 242π + 286π
Total surface area = 528π
Therefore, the surface area of the cylinder with a radius of 11 inches and height of 13 inches is 528π square inches, which is approximately 1657.44 square inches.