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How do you Find the Surface Area of a cylinder
 Apr 1, 2014
 #1
avatar+142 
0
Ehenderson408:

How do you Find the Surface Area of a cylinder




A cylindre is like a rectangle.

So you need to take the circumpherence and multiplicate it by the high.

For example you have a cylinder that have a radius of 6in and is 12in high.

1:
2pi*6

2:
37.699*12

And you have your area!

NOTE THAT I DIDN'T CALCULATE THE CIRCLE ON EACH EXTREMITY OF THE CYLINDER.

For that, a circle area is calcutate like this.

pi*(6^2)

You have two of them so:

2(pi*(6^2))

Finally you have to addition you surface.

452.388+226.194
 Apr 1, 2014
 #2
avatar+101871 
0
Well.....I could refer you to a "formula" page. But, let's think about this for a minute. Suppose that we consider a cylinder to be just a bunch of circles stacked on top of each other. Then, each circle would have a surface "area" equal to it's perimeter. i.e., 2 * Π * R, where R is the radius of the cylinder. Well, then the total surface area of the cylinder equals the "surface area" of each circle times the number of circles that we have. But the number of circles that we have just equals their total "height" which is the same height as the cylinder,

So the surface area of the cylinder is equal to:

("Area" of each circle) * (Height of cylinder) =

(2 * Π * R) * H =

2 * Π * R * H

And there you are......
 Apr 1, 2014

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