find the total surface area of the cylinder. sa = ? cm² round to the nearest hundredth. use 3.14 for π

Explanation:

Step1: Calculate base - area

The formula for the area of a circle is $A_{base}=\pi r^{2}$. Given $r = 3$ cm and $\pi=3.14$, we have $A_{base}=3.14\times3^{2}=3.14\times9 = 28.26$ $cm^{2}$. Since there are 2 bases, the total area of the bases is $2\times A_{base}=2\times28.26 = 56.52$ $cm^{2}$.

Step2: Calculate lateral - area

The formula for the lateral - area of a cylinder is $A_{lateral}=2\pi rh$. Substituting $r = 3$ cm, $h = 3$ cm and $\pi = 3.14$, we get $A_{lateral}=2\times3.14\times3\times3=56.52$ $cm^{2}$.

Step3: Calculate total surface area

The formula for the total surface area of a cylinder is $SA=2\pi r^{2}+2\pi rh$. So $SA = 56.52+56.52=113.04$ $cm^{2}$.

Answer:

$113.04$