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
252.77 yards
252.77 yards
252.77 square yards
252.77 square yards
329.7 square yards
329.7 square yards
577.76 square yards
577.76 square yards
To find the surface area of the cylinder, we need to calculate the area of the two bases and the lateral surface area.
The area of one base is calculated using the formula: A_base = π * r^2, where r is the radius.
So, the area of one base is A_base = 3.14 * 7^2 = 3.14 * 49 = 153.86 square yards.
Since there are two bases, the total area of the bases is 2 * 153.86 = 307.72 square yards.
The lateral surface area can be found using the formula: A_lateral = 2 * π * r * h, where h is the height.
So, the lateral surface area is A_lateral = 2 * 3.14 * 7 * 8 = 351.68 square yards.
The total surface area is the sum of the areas of the bases and the lateral surface area: Total surface area = 307.72 + 351.68 = 659.4 square yards.
Therefore, the correct answer is 659.4 square yards.