Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 04 May 2015, 15:10

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

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

Author Message
TAGS:
Senior Manager
Joined: 30 Aug 2003
Posts: 325
Location: dallas , tx
Followers: 1

Kudos [?]: 9 [0], given: 0

A sheet of paper 8 units long and 6 units wide is rolled [#permalink]  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
_________________

shubhangi

Intern
Joined: 17 Aug 2003
Posts: 38
Location: USA
Followers: 0

Kudos [?]: 1 [0], given: 0

With assumptions

circumfrence = 2*pi*r = 6

therefore r = 3/pi

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

B?
Director
Joined: 14 Oct 2003
Posts: 588
Location: On Vacation at My Crawford, Texas Ranch
Followers: 1

Kudos [?]: 9 [0], given: 0

Okay, Shubanghi - now you tell us what the Surface Area of the cylinder is with explanation! (let Shubanghi answer this please!)
Senior Manager
Joined: 30 Aug 2003
Posts: 325
Location: dallas , tx
Followers: 1

Kudos [?]: 9 [0], given: 0

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
...
_________________

shubhangi

Senior Manager
Joined: 30 Aug 2003
Posts: 325
Location: dallas , tx
Followers: 1

Kudos [?]: 9 [0], given: 0

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??
_________________

shubhangi

Director
Joined: 14 Oct 2003
Posts: 588
Location: On Vacation at My Crawford, Texas Ranch
Followers: 1

Kudos [?]: 9 [0], given: 0

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!

Last edited by Titleist on 30 Dec 2003, 11:16, edited 1 time in total.
Director
Joined: 14 Oct 2003
Posts: 588
Location: On Vacation at My Crawford, Texas Ranch
Followers: 1

Kudos [?]: 9 [0], given: 0

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
Director
Joined: 14 Oct 2003
Posts: 588
Location: On Vacation at My Crawford, Texas Ranch
Followers: 1

Kudos [?]: 9 [0], given: 0

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!
Director
Joined: 14 Oct 2003
Posts: 588
Location: On Vacation at My Crawford, Texas Ranch
Followers: 1

Kudos [?]: 9 [0], given: 0

No, try backsolving if you can.
GMAT Club Legend
Joined: 15 Dec 2003
Posts: 4313
Followers: 27

Kudos [?]: 217 [0], given: 0

Wow, that pix is way too big Titleist. I understand your promotion to VP but still...
_________________

Best Regards,

Paul

Director
Joined: 28 Oct 2003
Posts: 503
Location: 55405
Followers: 1

Kudos [?]: 10 [0], given: 0

Ditto on the Titleist avatar.

I could wretch!
Senior Manager
Joined: 30 Aug 2003
Posts: 325
Location: dallas , tx
Followers: 1

Kudos [?]: 9 [0], given: 0

making me nervous.. .what is the right answer
_________________

shubhangi

Director
Joined: 14 Oct 2003
Posts: 588
Location: On Vacation at My Crawford, Texas Ranch
Followers: 1

Kudos [?]: 9 [0], given: 0

"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.
Director
Joined: 14 Oct 2003
Posts: 588
Location: On Vacation at My Crawford, Texas Ranch
Followers: 1

Kudos [?]: 9 [0], given: 0

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

Last edited by Titleist on 30 Dec 2003, 12:47, edited 1 time in total.
GMAT Club Legend
Joined: 15 Dec 2003
Posts: 4313
Followers: 27

Kudos [?]: 217 [0], given: 0

That line is from Conan O'Brian Indeed, I got D 16 as well
_________________

Best Regards,

Paul

Director
Joined: 14 Oct 2003
Posts: 588
Location: On Vacation at My Crawford, Texas Ranch
Followers: 1

Kudos [?]: 9 [0], given: 0

Yes! You're on fire Paul!
Director
Joined: 14 Oct 2003
Posts: 588
Location: On Vacation at My Crawford, Texas Ranch
Followers: 1

Kudos [?]: 9 [0], given: 0

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
Director
Joined: 13 Nov 2003
Posts: 971
Location: Florida
Followers: 1

Kudos [?]: 32 [0], given: 0

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.
Director
Joined: 14 Oct 2003
Posts: 588
Location: On Vacation at My Crawford, Texas Ranch
Followers: 1

Kudos [?]: 9 [0], given: 0

18 it is. Check the ingredients on your shampoo bottle.
Director
Joined: 13 Nov 2003
Posts: 971
Location: Florida
Followers: 1

Kudos [?]: 32 [0], given: 0

Titleist wrote:
18 it is. Check the ingredients on your shampoo bottle.

hmmm..that's something to ponder

solution:
vol/time = pi*R^2*H / time = pi
H=10
solve for 2R---> Dia

Go to page    1   2    Next  [ 30 posts ]

Similar topics Replies Last post
Similar
Topics:
1 If a=(13!^1^6-13!^8)/(13!^8+13!^4) hat is the unit digit of 2 29 Dec 2013, 03:09
Although the United States steel industry faces widely 6 30 Mar 2009, 07:26
Can a sheet cover the table? (1) The sheet is 4 cm wide by 6 2 09 Jul 2007, 03:39
7 The Federalist papers, a strong defense of the United States 21 22 Apr 2007, 08:18
A rectangle is 10 long and 8 wide. The area of a regular 8 06 May 2006, 02:48
Display posts from previous: Sort by