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Mathematics 7 Online
OpenStudy (anonymous):

how do you find the Lateral Area, Surface Area, and the Volume of a Cylinder..???

OpenStudy (valpey):

Lateral surface area would be like the area of a label on a can of soup. You ignore the area of the top and bottom, and calculate it like you peeled off the label and just had a rectangle. The volume is the area of the top or bottom times the height. The area of a circle is pi*r squared.

OpenStudy (valpey):

Total surface area is the area of the label plus the area of the top plus the area of the bottom.

OpenStudy (anonymous):

im so confused haha xD

OpenStudy (valpey):

If you had a can of soup and peeled off the label, it would be in the shape of a rectangle. The area of a rectangle is length * height.

OpenStudy (anonymous):

ok.

OpenStudy (valpey):

So let's say your can of soup is 5 inches tall and has a diameter of 3 inches (or a radius of 1.5 inches). Let's calculate Lateral Surface Area.

OpenStudy (valpey):

Diameter is the width of the can, but circumference is the distance around the can (say you were to tie a string around the can,).

OpenStudy (anonymous):

ok i got that paart

OpenStudy (valpey):

Do you know how long that string would be?

OpenStudy (anonymous):

hold on let me calculate it.

OpenStudy (anonymous):

47.1 right?

OpenStudy (valpey):

Does it make sense to you that you would need a 47 inch long string to go around a can of soup?

OpenStudy (anonymous):

yeah :)

OpenStudy (valpey):

No. The relationship we are looking for is Circumference to Diameter. It has a special symbol.

OpenStudy (anonymous):

Oops sorry i didnt see the Inches part -__-

OpenStudy (valpey):

That is to say for every circle, the distance around (circumference) divided by the distance across (diameter) is always the same number; we call this number pi.

OpenStudy (valpey):

So if the distance across the can of soup is 3 inches, then the distance around is... ?

OpenStudy (anonymous):

3in?

OpenStudy (valpey):

Does it make sense to you that you could make it around a can of soup with a 3 inch piece of string?

OpenStudy (anonymous):

i dont know maybe. I told you im dumb at math i dont understand it this is the only subject i dont get a 90 on.. or maybe its because im not paying attention idk what it is -__- Sorry if your getting annoyed

OpenStudy (valpey):

Do you have any cans of anything, (especially something with a label) and some string and a ruler?

OpenStudy (anonymous):

Nope nothing like that only a can

OpenStudy (valpey):

How about paper with lines on it?

OpenStudy (valpey):

I have to go, but it would be a good experiment to try to measure the distance across and around a can. Then divide the distance around by the distance across and see what you get.

OpenStudy (anonymous):

i dont know maybe. I told you im dumb at math i dont understand it this is the only subject i dont get a 90 on.. or maybe its because im not paying attention idk what it is -__- Sorry if your getting annoyed

OpenStudy (anonymous):

sorry i thought i sent tat message before and i sent it now by mistake

OpenStudy (valpey):

No worries. Good luck.

OpenStudy (anonymous):

thanks man

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