what is the surface area of the cylinder? use π ≈ 3.14 and write your answer as a decimal rounded to the…

Explanation:

Step1: Calculate area of two - bases

The area formula for a circle is $A = \pi r^{2}$. The radius $r = 12$ cm. The area of two bases is $2\times\pi r^{2}=2\times3.14\times12^{2}=2\times3.14\times144 = 904.32$ $cm^{2}$.

Step2: Calculate lateral - surface area

The formula for the lateral - surface area of a cylinder is $A_{l}=2\pi rh$. Here, $r = 12$ cm and $h = 6$ cm. So $A_{l}=2\times3.14\times12\times6=452.16$ $cm^{2}$.

Step3: Calculate total surface area

The total surface area $A_{total}=2\pi r^{2}+2\pi rh$. Substitute the values from step 1 and step 2: $A_{total}=904.32 + 452.16=1356.48\approx1356.5$ $cm^{2}$.

Answer:

$1356.5$