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Proving a volume of a cylinder 
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#1
May2206, 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 


#2
May2206, 04:29 AM

P: 601

What is the curved surface area of a cylinder ?
Is it the area of paper used ? 


#3
May2206, 04:42 AM

P: 55

yes the area of the paper is used



#4
May2206, 07:47 AM

P: 926

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.



#5
May2206, 07:57 AM

Emeritus
Sci Advisor
PF Gold
P: 9,781

Just for the record, I prefer the integral form, much nicer and easier to understant I find.
~H 


#6
May2306, 04:22 AM

P: 55

thank you for your help though



#7
May2306, 10:38 AM

P: 4

what is the meaning of "putting the 2 functions in the parathesis seperated by the colon" ??



#8
May2306, 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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