NEW HERE? LEARN MORE
closeclose
Last visit was: 25 Apr 2024, 21:35 It is currently 25 Apr 2024, 21:35
Decision Tracker
My Rewards
New posts
New comers' posts

Close
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
Your Progress

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
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

The largest possible cylinder is enclosed in a cube. What is the large

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92915
Own Kudos [?]: 619051 [4]
Given Kudos: 81595
Send PM
CAT Tests Forum Quiz Mode
The largest possible cylinder is enclosed in a cube. What is the large [#permalink] New post   17 Sep 2018, 22:16
1
Kudos
3
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

45% (medium)

Question Stats:

53% (01:03) correct 47% (01:12) wrong based on 100 sessions
Hide Show timer Statistics
The largest possible cylinder is enclosed in a cube. What is the largest possible volume of the cylinder?

(1) The volume of the cube is 64 cubic units.
(2) The radius of the cylinder is 2 units.
ShowHide Answer
Official Answer
D
avatar
B
GMATisLovE
Manager
Manager
Joined: 06 Aug 2017
Posts: 62
Own Kudos [?]: 45 [0]
Given Kudos: 36
GMAT 1: 570 Q50 V18
GMAT 2: 610 Q49 V24
GMAT 3: 640 Q48 V29
Send PM
Re: The largest possible cylinder is enclosed in a cube. What is the large [#permalink] New post   17 Sep 2018, 23:13
Bunuel wrote:
The largest possible cylinder is enclosed in a cube. What is the largest possible volume of the cylinder?

(1) The volume of the cube is 64 cubic units.
(2) The radius of the cylinder is 2 units.


IMO A

Statement 1: The volume of the cube is 64 cubic units:
This will restrict the height of the cylinder and radius of its base, so maximum possible volume can be determined.
SUFFICIENT

Statement 2: The radius of the cylinder is 2 units
This does not restrict the height of the cylinder, so the volume could be anything.
INSUFFICIENT
User avatar
S
Shruti0805
Manager
Manager
Joined: 24 Dec 2016
Posts: 93
Own Kudos [?]: 45 [1]
Given Kudos: 145
Location: India
Concentration: Finance, General Management
Schools: Simon '21 (A$) Carlson '21 (A$) McDonough '21 (A)
WE:Information Technology (Computer Software)
Send PM
Re: The largest possible cylinder is enclosed in a cube. What is the large [#permalink] New post   18 Sep 2018, 00:30
1
Kudos
GMATisLovE wrote:
Bunuel wrote:
The largest possible cylinder is enclosed in a cube. What is the largest possible volume of the cylinder?

(1) The volume of the cube is 64 cubic units.
(2) The radius of the cylinder is 2 units.


IMO A

Statement 1: The volume of the cube is 64 cubic units:
This will restrict the height of the cylinder and radius of its base, so maximum possible volume can be determined.
SUFFICIENT

Statement 2: The radius of the cylinder is 2 units
This does not restrict the height of the cylinder, so the volume could be anything.
INSUFFICIENT


Hi,

The question mentions that the cylinder that's been enclosed is the largest possible. I guess that would mean that the cylinder has diameter of the same length as one of its sides. From statement 2, we know that the radius is 2 and thus, diameter is 4. Again, largest possible would imply that the height would be equal to the side of the cube which makes this statement sufficient in my opinion. What do you think?
avatar
B
GMATisLovE
Manager
Manager
Joined: 06 Aug 2017
Posts: 62
Own Kudos [?]: 45 [0]
Given Kudos: 36
GMAT 1: 570 Q50 V18
GMAT 2: 610 Q49 V24
GMAT 3: 640 Q48 V29
Send PM
Re: The largest possible cylinder is enclosed in a cube. What is the large [#permalink] New post   18 Sep 2018, 13:21
Shruti0805 wrote:
GMATisLovE wrote:
Bunuel wrote:
The largest possible cylinder is enclosed in a cube. What is the largest possible volume of the cylinder?

(1) The volume of the cube is 64 cubic units.
(2) The radius of the cylinder is 2 units.


IMO A

Statement 1: The volume of the cube is 64 cubic units:
This will restrict the height of the cylinder and radius of its base, so maximum possible volume can be determined.
SUFFICIENT

Statement 2: The radius of the cylinder is 2 units
This does not restrict the height of the cylinder, so the volume could be anything.
INSUFFICIENT


Hi,

The question mentions that the cylinder that's been enclosed is the largest possible. I guess that would mean that the cylinder has diameter of the same length as one of its sides. From statement 2, we know that the radius is 2 and thus, diameter is 4. Again, largest possible would imply that the height would be equal to the side of the cube which makes this statement sufficient in my opinion. What do you think?


Hi Shruti,

Yes, I think you are right. I missed the point you mentioned.
User avatar
B
ishpreetanand
Intern
Intern
Joined: 11 Oct 2016
Posts: 8
Own Kudos [?]: 4 [0]
Given Kudos: 300
Location: Canada
Schools: Schulich Sept '21 (A$) Sauder '21 (A)
GMAT 1: 680 Q48 V35
GPA: 3.61
Send PM
Re: The largest possible cylinder is enclosed in a cube. What is the large [#permalink] New post   18 Sep 2018, 16:49
Experts can you please provide a solution to this question?

Bunuel chetan2u
User avatar
L
chetan2u
RC & DI Moderator
Joined: 02 Aug 2009
Status:Math and DI Expert
Posts: 11178
Own Kudos [?]: 31934 [3]
Given Kudos: 290
Send PM
Reviews Badge
Re: The largest possible cylinder is enclosed in a cube. What is the large [#permalink] New post   18 Sep 2018, 18:13
3
Kudos
Expert Reply
The largest possible cylinder is enclosed in a cube. What is the largest possible volume of the cylinder?

(1) The volume of the cube is 64 cubic units.
Largest possible cylinder will be that will be fit JUST exactly into the cube...
So cubes dimensions are 4*4*4, height of cylinder=2 and diameter also is 4..
Thus volume = \(\pi*2^2*4=16\pi\)
Sufficient

(2) The radius of the cylinder is 2 units.
We are given that the cylinder is fitted in cube, so if radius is 2 the diameter will be 4 ..
And the diameter will also be equal to the side of cube...
Since all dimensions of a cube are same, the diameter of cylinder will be SAME as the height..
Thus volume = \(\pi*2^2*4=16\pi\)
Sufficient

D
avatar
B
somya29verma
Intern
Intern
Joined: 02 Jul 2018
Posts: 7
Own Kudos [?]: 2 [0]
Given Kudos: 4
Send PM
Re: The largest possible cylinder is enclosed in a cube. What is the large [#permalink] New post   18 Sep 2018, 21:12
Why are we not considering cylinder formed along the diagonal of the cube?? Will it not be largest possible??


Sent from my iPhone using GMAT Club Forum mobile app
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32681
Own Kudos [?]: 822 [0]
Given Kudos: 0
Send PM
Re: The largest possible cylinder is enclosed in a cube. What is the large [#permalink] New post   16 May 2021, 22:02
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
GMAT Club Bot
gmatclubot
Re: The largest possible cylinder is enclosed in a cube. What is the large [#permalink]
16 May 2021, 22:02
Moderator:
Bunuel
Math Expert
92915 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions