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A sheet of paper 8 units long and 6 units wide is rolled

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A sheet of paper 8 units long and 6 units wide is rolled [#permalink] New post 30 Dec 2003, 08:57
A sheet of paper 8 units long and 6 units wide is rolled into a cylinder 8 units in height. What is the volume of the cylinder?

48/pi
72/pi
24/pi
9/pi
96/pi
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shubhangi

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 [#permalink] New post 30 Dec 2003, 10:05
With assumptions

circumfrence = 2*pi*r = 6

therefore r = 3/pi

volume = 8*pi*r^2 = 8 *pi*(9/pi^2) = 72/pi

B?
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 [#permalink] New post 30 Dec 2003, 10:13
Okay, Shubanghi - now you tell us what the Surface Area of the cylinder is with explanation! :-D (let Shubanghi answer this please!)
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 [#permalink] New post 30 Dec 2003, 10:26
Well , i am not good in Geometry at all..but still i will give a try.

its asks the volume..so we must find out the radius of the cyclinder.Since the width is 6 ..the circumfernece should be 6 too..then find the radius.
6=2*pi*r..tf..(6/2*pi)=(2*pi*r/2*pi) = 3/pi=r......(1)
volume = pi*r^2 *h
so pi*3/pi*3/pi*8=72/pi
... :madd
Geo makes me really mad
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 [#permalink] New post 30 Dec 2003, 10:35
okay now surface area of cyclinder is =2*pi r*h +2*pi*r^2
so 2*pi*3/pi*8 + 2*pi*3*pi*3/pi = 66/pi..right??
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 [#permalink] New post 30 Dec 2003, 10:37
Good try. Let me leave you with the formula: SA Cylinder = 2 Circles + Rectangle: Thus, 2(Pi*r^2) + 2 pi*r*h


Give it a shot! :-D

Last edited by Titleist on 30 Dec 2003, 11:16, edited 1 time in total.
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 [#permalink] New post 30 Dec 2003, 10:50
Shubanghi,

This is how I did it:

SA cylinder = 2prh+2(pi*r^2)

we established that r=3/pi

plug in

2*pi*3/pi*8 + 2(pi*3/pi^2)

48 + 2(9/pi) = 48 + 18/pi = 48pi +18
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 [#permalink] New post 30 Dec 2003, 11:07
Okay Shubanghi,

A tougher question for you: this would be considered a difficult question.


If the surface area of a cylinder is 400pi feet and the height of the cylinder is 17 feet, then what is the diameter of this cylinder's circular base?

a)14
b)15.24
c)15.9
d)16
e)16.33

Once you solved this problem, you'll have mastered GMAT cylinder problems!
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 [#permalink] New post 30 Dec 2003, 11:50
No, try backsolving if you can.
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 [#permalink] New post 30 Dec 2003, 12:04
Wow, that pix is way too big Titleist. I understand your promotion to VP but still... :wink:
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 [#permalink] New post 30 Dec 2003, 12:08
Ditto on the Titleist avatar.

I could wretch!
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 [#permalink] New post 30 Dec 2003, 12:09
making me nervous.. :cry: .what is the right answer
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 [#permalink] New post 30 Dec 2003, 12:09
"I didn't tell her to lie under deposition - I told her to lie there in that position!!!!"

-Bubba

Last edited by Titleist on 30 Dec 2003, 12:46, edited 1 time in total.
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 [#permalink] New post 30 Dec 2003, 12:32
400pi=2pi*r^2+2pi*r*h

given: h=17

thus,

400pi=2pi*r^2+2pi*r17

400pi=2pi(r^2+17r)

200=r^2+17r

0=r^2+17r-200

0=(r+25)(r-8)

thus r=(-25,8)

thus we pick r=8

we're not done yet

d=2r

Thus 16 is your answer!

Last edited by Titleist on 30 Dec 2003, 12:47, edited 1 time in total.
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 [#permalink] New post 30 Dec 2003, 12:47
That line is from Conan O'Brian :) Indeed, I got D 16 as well
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 [#permalink] New post 30 Dec 2003, 12:49
Yes! You're on fire Paul! :-D
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 [#permalink] New post 30 Dec 2003, 13:43
One more question and we'll call it a night as far as cylinders are concerned.


A cylindrical storage tank containing the liquid chemical, ammonium xylenesulfonate, is being filled at a rate of pi cubic meters per second. Structural engineers are also working on the tank and they are surveying the dimensions of the tank. The tank stands 10 meters tall. If the tank was empty before being filled and if took 13.5 minutes to fill then what is the diameter of the tank?

a) 8 meters
b) 9 meters
c)12 meters
d)16 meters
e)18 meters
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 [#permalink] New post 30 Dec 2003, 13:49
Titleist wrote:
One more question and we'll call it a night as far as cylinders are concerned.


A cylindrical storage tank containing the liquid chemical, ammonium xylenesulfonate, is being filled at a rate of pi cubic meters per second. Structural engineers are also working on the tank and they are surveying the dimensions of the tank. The tank stands 10 meters tall. If the tank was empty before being filled and if took 13.5 minutes to fill then what is the diameter of the tank?

a) 8 meters
b) 9 meters
c)12 meters
d)16 meters
e)18 meters


hey, did you write this ques. if yes, where did you get "ammonium xylenesulfonate" ..?? interresting.

anyway, I got 18.
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 [#permalink] New post 30 Dec 2003, 13:52
18 it is. Check the ingredients on your shampoo bottle. :lol:
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 [#permalink] New post 30 Dec 2003, 13:56
Titleist wrote:
18 it is. Check the ingredients on your shampoo bottle. :lol:


hmmm..that's something to ponder

solution:
vol/time = pi*R^2*H / time = pi
H=10
solve for 2R---> Dia
  [#permalink] 30 Dec 2003, 13:56
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