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

The total surface area of a cylinder $SA$ is the sum of the areas of the two circular bases and the lateral - surface area (the rectangle when the cylinder is unrolled). That is $SA = A_{circles}+A_{rectangle}$.

Step2: Substitute given values

We are given that $A_{circles}=56.52\ cm^{2}$ and $A_{rectangle}=113.04\ cm^{2}$.

Step3: Calculate total surface area

$SA=56.52 + 113.04$.
$SA = 169.56\ cm^{2}$

Answer:

$169.56\ cm^{2}$