Use the image to answer the question.
A cylinder is labeled with a height of 3 yards and a radius of 2 yards.
Find the surface area of the cylinder. Use the approximation of 3.14 for pi.
To find the surface area of a cylinder, we need to calculate the area of the two circular bases and the area of the curved surface.
1. The area of each circular base can be found using the formula for the area of a circle: A = πr^2, where r is the radius. In this case, the radius is given as 2 yards, so the area of each base is A = 3.14 * 2^2 = 3.14 * 4 = 12.56 square yards.
2. The curved surface area can be found using the formula: A = 2πrh, where r is the radius and h is the height. In this case, the radius is 2 yards and the height is 3 yards. So, the curved surface area is A = 2 * 3.14 * 2 * 3 = 37.68 square yards.
3. Finally, to find the total surface area, we add the area of the two bases and the curved surface area: Total Surface Area = 2 * 12.56 + 37.68 = 25.12 + 37.68 = 62.8 square yards.
Therefore, the surface area of the cylinder is approximately 62.8 square yards.