Question

Help me please! 8-1

Answer 1

Answer:  414.5

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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