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tatuchka [14]
3 years ago
9

How do i find the surface area of a cylinder with a radius of 3.5 ft. and a height of 14 ft.

Mathematics
1 answer:
Karolina [17]3 years ago
3 0
The formula for the surface area of a cylinder is:
2<span>π</span><span>r</span><span>h </span><span>+ </span><span>2</span><span>π</span><span>r^</span><span>2

If we substitute in the measurements that we know, you get:

2</span><span>\pi (3.5) (14) + 2</span><span>\pi (3.5)^2

If we simplify this expression, we get:

98</span><span>\pi + 24.5</span><span>\pi

If you simplify once more, you get

122.5</span><span>\pi or </span><span>≈ 384.85

Therefore, the surface area is 122.5</span>\pi or about 384.85<span>


</span>

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Can someone please explain?
AlladinOne [14]
<h2>Hello!</h2>

The answer is:

The correct option is the first option:  

y=-4x+64

<h2>Why?</h2>

To write the equation of the line in slope-interception  form we need to extract all the information that we need from the graphic.

We must remember that the slope-interception form of the lines is:

y=mx+b

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y, is the function

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b, is the y-axis intercept

We can find the slope using the following formula:

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Which is for this case:

m=\frac{64}{16}=4

As we can see from the graphic, the line is decresing, so the sign of the slope "m" will be negative, so:

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As we can see it intercept the y-axis at:  y=64

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y=-4x+64

Have a nice day!

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