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Proving a volume of a cylinder

by rachael
Tags: cylinder, proving, volume
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rachael
#1
May22-06, 04:14 AM
P: 55
1. Show that a volume of a clyinder equals to v= A^2 \ (4πh)
where h= height of the cylinder
A = area of a original paper


how would i prove this question?
could any one please help
thank you

v= πr^2 h -------1
v=A^2 \ (4πh)-----2

i tried to make h da subject but i got 4v^2 = Ar^2 which it does work out
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arunbg
#2
May22-06, 04:29 AM
P: 600
What is the curved surface area of a cylinder ?
Is it the area of paper used ?
rachael
#3
May22-06, 04:42 AM
P: 55
yes the area of the paper is used

daveb
#4
May22-06, 07:47 AM
P: 925
Proving a volume of a cylinder

Since this is in the precalculus forum, i won't refer to integrals. The regular expression for the volume of a cylinder is nr^2h. The area of the paper is A. Find an expression for A in terms of n, r and h, and simply square that and divide by 4nh to show that this equals the volume of the sylinder.
Hootenanny
#5
May22-06, 07:57 AM
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P: 9,772
Just for the record, I prefer the integral form, much nicer and easier to understant I find.

~H
rachael
#6
May23-06, 04:22 AM
P: 55
thank you for your help though
aujing
#7
May23-06, 10:38 AM
P: 4
what is the meaning of "putting the 2 functions in the parathesis seperated by the colon" ??
aujing
#8
May23-06, 10:44 AM
P: 4
what's the meaning of
"A = area of a original paper"

yOU skipped the most important part !?
by folding a paper to form a cylinder !? I assume..
A=2πrh
V=πrrh = 2πrh2πrh\4πh = AA\4πh

@.u


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