Question

find the surface area of this cylinder. use 3.14 for π. do not round your answer. 3 cm 6 cm what is the total surface area? both circles: 56.52 cm² rectangle: 113.04 cm² total sa: ?cm²

Explanation:

Step1: Recall surface - area formula for cylinder

The surface area of a cylinder $SA = 2\pi r^{2}+2\pi rh$, where $2\pi r^{2}$ is the area of the two circular bases and $2\pi rh$ is the lateral - surface area. We are given that the area of the two circles is $56.52\ cm^{2}$ and the area of the rectangle (lateral - surface area) is $113.04\ cm^{2}$.

Step2: Calculate total surface area

The total surface area of the cylinder is the sum of the area of the two circular bases and the lateral - surface area. So, $SA=56.52 + 113.04$.

Answer:

$169.56\ cm^{2}$