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

329.7 square yards

252.77 square yards

252.77 yards

1 answer

The surface area of a cylinder is given by the formula 2 * pi * r^2 + 2 * pi * r * h. Given that the radius is 7 yards and the height is 8 yards, we can plug these values into the formula to get:

Surface Area = 2 * 3.14 * 7^2 + 2 * 3.14 * 7 * 8
Surface Area = 2 * 3.14 * 49 + 2 * 3.14 * 56
Surface Area = 6.28 * 49 + 6.28 * 56
Surface Area = 306.92 + 351.68
Surface Area = 658.6

Therefore, the surface area of the cylinder is 658.6 square yards. The closest option to this is 577.76 square yards.