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 the area of the two - circular bases

The formula for the area of a circle is $A = \pi r^{2}$. Here, $r = 9$ mm. The area of two circular bases is $2\times\pi r^{2}=2\times3.14\times9^{2}=2\times3.14\times81 = 508.68$ square mm.

Step2: Calculate the lateral - surface area

The formula for the lateral - surface area of a cylinder is $A = 2\pi rh$. Here, $r = 9$ mm and $h = 7$ mm. So, $2\pi rh=2\times3.14\times9\times7=395.64$ square mm.

Step3: Calculate the total surface area

The total surface area of a cylinder $S$ is the sum of the area of the two bases and the lateral - surface area. So, $S=2\pi r^{2}+2\pi rh=508.68 + 395.64=904.32\approx904.3$ square mm.

Answer:

$904.3$