Register to reply

Proving a volume of a cylinder

by rachael
Tags: cylinder, proving, volume
Share this thread:
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
Phys.Org News Partner Science news on Phys.org
Suddenly, the sun is eerily quiet: Where did the sunspots go?
'Moral victories' might spare you from losing again
Mammoth and mastodon behavior was less roam, more stay at home
arunbg
#2
May22-06, 04:29 AM
P: 601
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: 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.
Hootenanny
#5
May22-06, 07:57 AM
Emeritus
Sci Advisor
PF Gold
Hootenanny's Avatar
P: 9,782
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


Register to reply

Related Discussions
Volume of largest cylinder Precalculus Mathematics Homework 6
Hieght of a volume in a cylinder on its side, with known volume. Precalculus Mathematics Homework 2
Volume of Right Circular Cylinder Calculus & Beyond Homework 3
Volume of a cylinder General Physics 10
Volume of air in a cylinder General Physics 3