Use the image to answer the question.
A cylinder is labeled with a height of 8 yards and a radius of 7 yards.
Find the surface area of the cylinder. Use the approximation 3.14 for pi.
(1 point)
Responses
329.7 square yards
329.7 square yards
577.76 square yards
577.76 square yards
252.77 yards
252.77 yards
252.77 square yards
wrong awnser
To find the surface area of a cylinder, we need to find the area of the two circular bases and the area of the curved surface.
1. The area of one circular base of the cylinder can be found using the formula for the area of a circle: A = πr^2. In this case, the radius is 7 yards, so the area of one base is approximately 3.14 * (7^2) = 3.14 * 49 = 153.86 square yards.
2. Since there are two circular bases, the total area of the circular bases is 2 * 153.86 = 307.72 square yards.
3. The curved surface area of the cylinder can be found using the formula: A = 2πrh, where r is the radius and h is the height. In this case, the radius is 7 yards and the height is 8 yards, so the curved surface area is approximately 2 * 3.14 * 7 * 8 = 351.68 square yards.
4. Finally, to find the total surface area of the cylinder, we add the area of the circular bases to the curved surface area: 307.72 + 351.68 = 659.4 square yards.
Therefore, the correct answer is 659.4 square yards.