Find the surface area of the cylinder to the nearest whole number. The figure is not drawn to scale.
a cylinder 11 13
(1 point)
The surface area of a cylinder can be calculated using the formula:
Surface Area = 2 * π * r^2 + 2 * π * r * h
where r is the radius of the cylinder and h is the height of the cylinder.
Given that the radius of the cylinder is 11 and the height is 13, we can substitute these values into the formula:
Surface Area = 2 * π * 11^2 + 2 * π * 11 * 13
Surface Area = 2 * π * 121 + 2 * π * 143
Surface Area = 242π + 286π
Surface Area = 528π
To get the decimal approximation, we can use the value of π as 3.14159:
Surface Area ≈ 528 * 3.14159
Surface Area ≈ 1657.094
Rounded to the nearest whole number, the surface area of the cylinder is 1657.