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
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.