To find the surface area of a cylinder, we need to calculate the areas of the two bases and the lateral surface area.
The area of each base is given by the formula A = πr^2, where r is the radius. In this case, the radius is 7 yards, so the area of each base is A = 3.14 * 7^2 = 3.14 * 49 = 153.86 square yards.
The lateral surface area is given by 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 lateral surface area is A = 2 * 3.14 * 7 * 8 = 351.68 square yards.
Finally, we add the areas of the two bases and the lateral surface area to get the total surface area. Total surface area = 2(base area) + lateral surface area = 2(153.86) + 351.68 = 307.72 + 351.68 = 659.4 square yards.
Therefore, the surface area of the cylinder is approximately 659.4 square yards. None of the provided answer choices is correct.
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
577.76 square yards
577.76 square yards
252.77 yards
252.77 yards
252.77 square yards
252.77 square yards
329.7 square yards
1 answer
1 answer