<h3>
Answer: 414.5</h3>
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Explanation:
The surface area of a cylinder is
SA = 2*pi*r^2 + 2pi*r*h
The 2*pi*r^2 portion handles the 2 identical flat circular faces on top and bottom (each being area of pi*r^2). The 2*pi*r*h portion handles the curved side.
We'll plug in the radius of r = 6 and height of h = 5
SA = 2*pi*r^2 + 2pi*r*h
SA = 2*pi*6^2 + 2pi*6*5
SA = 2*pi*36 + 2*pi*30
SA = 2*36pi + 2*30pi
SA = 72pi + 60pi
SA = 132pi
That's the exact surface area in terms of pi.
Your teacher wants you to replace pi with the approximation 3.14
SA = 132pi
SA = 132*3.14
SA = 414.48
Then as a final step, we round to the nearest tenth (aka 1 decimal place) to get 414.5 square inches
