|
Author |
Message |
|
TAGS:
|
|
|
Intern
Joined: 29 Sep 2009
Posts: 17
Followers: 0
Kudos [?]:
1
[1] , given: 3
|
A right circular cone, twice as tall as it is wide at its [#permalink]
 07 Oct 2009, 00:31
1
This post received
KUDOS
Question Stats:
36% (02:20) correct
63% (01:54) wrong based on 3 sessions
A right circular cone, twice as tall as it is wide at its greatest width, is pointing straight down. The cone is partially filled with water, which is dripping out of a tiny hole in the cone's tip at a rate of 2 cubic centimeters per hour. If the water were to continue to drip out at this rate, how much longer would it take for the cone to empty, assuming that no water is added to the cone and that there is no loss of water from the cone by any other means? (1) The top surface of the water in the cone is currently 9\pi square centimeters in area. (2) The top surface of the water in the cone currently is exactly 4 centimeters below the cone's top, measuring vertically.
|
|
|
|
|
|
|
Manager
Joined: 02 Jan 2009
Posts: 99
Location: India
Schools: LBS
Followers: 2
Kudos [?]:
26
[0], given: 6
|
Re: Leak of water from the cone [#permalink]
07 Oct 2009, 01:53
(1) The top surface of the water in the cone is currently 9pi square centimeters in area. -- sufficient on its own (we can get D) (2) The top surface of the water in the cone currently is exactly 4 centimeters below the cone's top, measuring vertically. -- sufficient on its own ( we have H) As the ratio of diameter:hieght of any sub-cone formed in this cone will be 1:2 So we need either D or H to get the volume. IMO D.
_________________
The Legion dies, it does not surrender.
|
|
|
|
|
|
GMAT Club team member
Joined: 02 Sep 2009
Posts: 11570
Followers: 1797
Kudos [?]:
9580
[3] , given: 826
|
Re: Leak of water from the cone [#permalink]
07 Oct 2009, 05:13
3
This post received
KUDOS
jax91 wrote: (1) The top surface of the water in the cone is currently 9pi square centimeters in area. -- sufficient on its own (we can get D)
(2) The top surface of the water in the cone currently is exactly 4 centimeters below the cone's top, measuring vertically. -- sufficient on its own ( we have H)
As the ratio of diameter:hieght of any sub-cone formed in this cone will be 1:2
So we need either D or H to get the volume.
IMO D. Disagree. A right circular cone, twice as tall as it is wide at its greatest width, is pointing straight down. The cone is partially filled with water, which is dripping out of a tiny hole in the cone's tip at a rate of 2 cubic centimeters per hour. If the water were to continue to drip out at this rate, how much longer would it take for the cone to empty, assuming that no water is added to the cone and that there is no loss of water from the cone by any other means?H - height of cone, R radius of cone. h - height of water in cone, r radius of top surface of water in cone. (1) The top surface of the water in the cone is currently 9\pi square centimeters in area. Top surface area of water=9pi=pi*r^2 --> r=3 --> R/H=r/h=1/4 --> h=12 --> V=1/3*pi*r^2*h=36*pi Leak rate 2 cubic centimeters per hour --> 36pi/2 Sufficient (2) The top surface of the water in the cone currently is exactly 4 centimeters below the cone's top, measuring vertically. Not sufficient we know that H=h+4, but h can be any value and thus the Volume can be any. Answer: A.
_________________
PLEASE READ AND FOLLOW: 11 Rules for Posting!!!
RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory
COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. NEW!!!
DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set. NEW!!!
What are GMAT Club Tests?
25 extra-hard Quant Tests
Find out what's new at GMAT Club - latest features and updates
|
|
|
|
|
|
Manager
Joined: 02 Jan 2009
Posts: 99
Location: India
Schools: LBS
Followers: 2
Kudos [?]:
26
[0], given: 6
|
Re: Leak of water from the cone [#permalink]
07 Oct 2009, 06:14
 ... misread the second statement.. sorry bout that.. it is A.
_________________
The Legion dies, it does not surrender.
|
|
|
|
|
|
Manager
Joined: 08 Nov 2005
Posts: 185
Followers: 1
Kudos [?]:
13
[0], given: 10
|
Re: Leak of water from the cone [#permalink]
07 Oct 2009, 09:54
yeap I agree it should be A.
|
|
|
|
|
|
Intern
Joined: 27 Jun 2011
Posts: 1
Followers: 0
Kudos [?]:
0
[0], given: 0
|
Re: Leak of water from the cone [#permalink]
30 Jun 2011, 23:03
It cant be A cause the question says, e cone is partially filled with water.
A can be true only when the cone is fully filled.
|
|
|
|
|
|
Intern
Joined: 29 Jun 2011
Posts: 13
Location: Ireland
Followers: 1
Kudos [?]:
3
[0], given: 0
|
Re: Leak of water from the cone [#permalink]
01 Jul 2011, 04:06
svikram wrote: It cant be A cause the question says, e cone is partially filled with water.
A can be true only when the cone is fully filled. If we know the ratio for height:width for any volume in a cone, then that ratio applies to all volumes. This rule is due to the fact that the angles in the cone stay constant when the volume changes. Statement 1 gives us the area at the top of the water. This allows us to find the water volume, using the height:width ratio provided, and subsequently the rate of leaking. A is the answer.
_________________
www.testprepdublin.com
For the best GMAT, GRE, and SAT preparation.
|
|
|
|
|
|
Intern
Affiliations: IEEE, IAB
Joined: 09 Aug 2011
Posts: 15
Mustafa: Golam
Followers: 0
Kudos [?]:
7
[0], given: 2
|
Re: Leak of water from the cone [#permalink]
09 Sep 2011, 22:30
Thanks Bunuel and testprepdublin.
_________________
*´¨)
¸.•´¸.•*´¨) ¸.•*¨)
(¸.•´ (¸.•` *Mustafa Golam,'.'`,.
-.*.--http://about.me/MustafaGolam -.*.-*
|
|
|
|
|
|
Intern
Joined: 22 Jul 2011
Posts: 9
GMAT 1: 660 Q48 V34
Followers: 0
Kudos [?]:
0
[0], given: 1
|
Re: Leak of water from the cone [#permalink]
01 Oct 2011, 07:19
Bunuel,
You have taken the property of entire cone (i mean r and h ratio) and applied to the partial cone.
Is this because the cone is right circular cone?
thanks in advance
KSC
|
|
|
|
|
|
Senior Manager
Joined: 24 Aug 2009
Posts: 282
Schools: Harvard, Columbia, Stern, Booth, LSB,
Followers: 2
Kudos [?]:
138
[0], given: 217
|
Re: A right circular cone, twice as tall as it is wide at its [#permalink]
27 Jul 2012, 23:16
Answer must be (E) as no statements individually can give either the value of radius 'r' or height 'h' Time required (in minutes) to empty the cone = (60/2)* pie * r^2*h h= 4r 1) Now the original question states that the cone is "partially filled" & not full filled. Thus statement 1 won't suffice. 2) Water level is 4 cm below the full height - Thus not sufficient. 1+2) hr= 3h + 4, which is still insufficient . Thus the answer is E
_________________
If you like my Question/Explanation or the contribution, Kindly appreciate by pressing KUDOS.
Kudos always maximizes GMATCLUB worth -Game Theory
|
|
|
|
|
|
GMAT Club team member
Joined: 02 Sep 2009
Posts: 11570
Followers: 1797
Kudos [?]:
9580
[0], given: 826
|
Re: A right circular cone, twice as tall as it is wide at its [#permalink]
28 Jul 2012, 02:19
|
|
|
|
|
|
Intern
Joined: 27 Dec 2011
Posts: 37
Followers: 0
Kudos [?]:
1
[0], given: 5
|
Re: A right circular cone, twice as tall as it is wide at its [#permalink]
19 Aug 2012, 01:28
hi Bunuel,
how did you get to the ratio:
R/H=r/h=1/4 ??
Can you please elaborate?
thanks!!
|
|
|
|
|
|
|
Re: A right circular cone, twice as tall as it is wide at its
[#permalink]
19 Aug 2012, 01:28
|
|
|
|
|
|
|
|
|
|
|
close
