Find the surface area of a cylinder that has a height of 12 m and a diameter of 130 cm. Use 3.14 for π . Round to the nearest hundredth at the last step.
First, we need to convert the diameter from centimeters to meters:
130 cm = 1.3 m
The radius of the cylinder is half of the diameter:
radius = 1.3 m / 2 = 0.65 m
The formula for the surface area of a cylinder is:
SA = 2πr(r + h)
Plugging in the values:
SA = 2 * 3.14 * 0.65 * (0.65 + 12)
SA = 2 * 3.14 * 0.65 * 12.65
SA = 2 * 3.14 * 8.2225
SA = 52.0026 m^2
Rounded to the nearest hundredth:
SA ≈ 52.00 m^2
Therefore, the surface area of the cylinder is approximately 52.00 square meters.