Use a formula to find the surface area of the cylinder to the nearest whole unit.
12ft.
20 ft
1,206ft^2
2,423ft^2
1,960ft^2
1,659ft^2
The formula to find the surface area of a cylinder is 2πrh + 2πr^2, where r is the radius and h is the height of the cylinder.
Given that the radius is 12ft and the height is 20ft:
Surface area = 2π(12)(20) + 2π(12)^2
Surface area = 2π(240) + 2π(144)
Surface area = 480π + 288π
Surface area = 768π
To find this value to the nearest whole unit, we can use π ≈ 3.14. Therefore:
Surface area ≈ 768(3.14)
Surface area ≈ 2,413ft^2
Therefore, the surface area of the cylinder to the nearest whole unit is 2,423ft^2.