Hello!
To find the surface area of the given cylinder, we need to use the formula of the surface area of a cylinder.
The formula for the surface area of a cylinder is SA = 2πrh + 2πr².
In this formula, r is the radius and h is the height.
In the given diagram, we see that the height is 6 meters, and the radius 9 meters. With those values, we can substitute them into our formula and solve for the surface area.
In some cases, you are given the diameter. To find the radius, you would need to divide the diameter by two.
SA = 2π(9)(6) + 2π(9)²
SA = 54(2π) + 2(81π)
SA = 108π + 162π
SA = 270π
SA ≈ 848.2 m²
Therefore, the surface area of the given cylinder is choice A, 848.2 m².
