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### Surface Area and Volume of Cylinders

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Date: 05/25/2001 at 18:40:17
From: Matt Gibbs
Subject: Volume & surface area of cylinders

I would like to know if you could tell me how to find the surface area
of cylinders. Also, could you tell me how to find the volume of
if you can.

Thank you,
Matt
```

```
Date: 05/25/2001 at 22:11:01
From: Doctor Peterson
Subject: Re: Volume & surface area of cylinders

Hi, Matt.

If you just want the formulas, you can go to our FAQ and click on
Formulas. For more details, go to our search page and enter "surface
area cylinder."

But I'll give you the basics so you can figure it out yourself.

Suppose you want to find the surface area of a soup can. Get a can
opener and cut around the top and bottom and take them off. Now get a
pair of shears and cut straight down the side, and flatten it out to
make a rectangle. Now you have two circles and a rectangle; you know
how to find their areas, so just add them together. That's all there
is to it.

Now, for the volume, it's just the product of the area of the base
(the circle) and the height. You can picture finding the volume of a
cylinder one unit high by fitting unit cubes together to cover the
base; the number it will take is just the area of the base. Now
multiply that by the number of layers it takes to fill the whole
cylinder, which is its height.

- Doctor Peterson, The Math Forum
http://mathforum.org/dr.math/
```
Associated Topics:
High School Geometry
High School Higher-Dimensional Geometry
Middle School Geometry
Middle School Higher-Dimensional Geometry

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