Find the surface area for the given cylinder.
6 yd
24 yd
904 yd^2
1,017 yd^2
1,130 yd^2
2,713 yd^2
The formula to find the surface area of a cylinder is 2πrh + 2πr^2, where r is the radius of the base and h is the height.
Given that the radius (r) is 6 yd and the height (h) is 24 yd:
Surface area = 2π(6)(24) + 2π(6)^2
Surface area = 2π(144) + 2π(36)
Surface area = 288π + 72π
Surface area = 360π
Using the approximation π ≈ 3.14, the surface area of the cylinder is approximately:
Surface area ≈ 360(3.14)
Surface area ≈ 1,130.4 yd^2
Therefore, the surface area of the given cylinder is approximately 1,130 yd^2. The closest option is 1,130 yd^2.