Last visit was: 23 Apr 2026, 01:48 It is currently 23 Apr 2026, 01:48
Home
Messages
Tests
Schools
Events
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
User avatar
kimmyg
User avatar
Joined: 17 Aug 2005
Last visit: 14 Mar 2006
Posts: 106
Own Kudos:
2,626
Posts: 106
Kudos: 2,626
Cylindrical tennis-ball cans are being packed into cartons. 22 Sep 2005, 06:09
Kudos
Add Kudos
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
N
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions

History

Date
Time
Result
Not Attempted Yet
Cylindrical tennis-ball cans are being packed into cartons. If each can has a radius of 2 inches and a height of 12 inches, and the dimensions of each carton are 14 inches by 16 inches by 20 inches, what is the maximum number of tennis-ball cans that can fit in each carton?

(A) 12
(B) 15
(C) 20
(D) 24
(E) 4



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
Still interested in this question? Check out the "Best Topics" block below for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
User avatar
chriswil2005
User avatar
Joined: 04 May 2005
Last visit: 17 Jun 2010
Posts: 93
Own Kudos:
29
Location: Chicago
Posts: 93
Kudos: 29
Cylindrical tennis-ball cans are being packed into cartons. 22 Sep 2005, 06:35
Kudos
Add Kudos
Bookmarks
Bookmark this Post
I got 20 (C). I don't know if this correct, but since the stem doesn't say that you have to stack them on top of each other, so stuff them in where the can fit.
User avatar
richardj
User avatar
Joined: 06 Aug 2005
Last visit: 23 Oct 2005
Posts: 91
Own Kudos:
26
Posts: 91
Kudos: 26
Cylindrical tennis-ball cans are being packed into cartons. 22 Sep 2005, 07:07
Kudos
Add Kudos
Bookmarks
Bookmark this Post
I made it 91 = (20/2 * 16/2) + 20/2 + 1

Have I missed something?
User avatar
FN
User avatar
Current Student
Joined: 28 Dec 2004
Last visit: 07 May 2012
Posts: 1,575
Own Kudos:
687
Given Kudos: 2
Location: New York City
Concentration: Social Enterprise
Schools:Wharton'11 HBS'12
Posts: 1,575
Kudos: 687
Cylindrical tennis-ball cans are being packed into cartons. 22 Sep 2005, 07:24
Kudos
Add Kudos
Bookmarks
Bookmark this Post
I get 20...

Well you have to think of it logically...

so we know the diameter of the can is 4...

the height is 12...

so lets look at it, if we lay the cans on the side...say with the side measuring 14, then we can only put 3 such cans...

so in order to maximize, say we lay the cans in a fashion that we put em on the side measuring 20...that way we can have 5 cans laying on the side, then we can stack em along the side measuring 16, that way we can have 4 such cans...

so we can have 4*5=20 cans...
User avatar
coffeeloverfreak
User avatar
Joined: 27 Aug 2005
Last visit: 18 Dec 2018
Posts: 246
Own Kudos:
962
Location: Montreal, Canada
Posts: 246
Kudos: 962
Cylindrical tennis-ball cans are being packed into cartons. 22 Sep 2005, 08:03
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Staggering the rows cans would allow more to fit than placing them side-by-each in neat rows, though.
User avatar
duttsit
User avatar
Joined: 22 Aug 2005
Last visit: 19 Feb 2016
Posts: 493
Own Kudos:
708
Location: CA
Posts: 493
Kudos: 708
Cylindrical tennis-ball cans are being packed into cartons. 22 Sep 2005, 09:54
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Does anyone knows standard way to solve this?
User avatar
nakib77
User avatar
Joined: 28 May 2005
Last visit: 09 Aug 2008
Posts: 984
Own Kudos:
3,714
Location: Dhaka
Posts: 984
Kudos: 3,714
Cylindrical tennis-ball cans are being packed into cartons. 22 Sep 2005, 12:17
Kudos
Add Kudos
Bookmarks
Bookmark this Post
duttsit
Does anyone knows standard way to solve this?
Show more


Let me share how I got 20.
First I figured the diameter is 4 and hight is 12

so in order to maximize the storage utilization 14 has to be used as hight of the box and 16X20 has to used as length and width. so we have an are of 16X20 to be filled up by cylinder with will be taking as much as 4X4 area.
so (16X20)/(4X4) = 20 cans.

still you have 2X14 free areas but you can not fit anything there.

So 20 is the right answer.
User avatar
anandsebastin
User avatar
Joined: 23 Jun 2005
Last visit: 20 Jul 2011
Posts: 339
Own Kudos:
362
Given Kudos: 1
GMAT 1: 740 Q48 V42
GMAT 1: 740 Q48 V42
Posts: 339
Kudos: 362
Cylindrical tennis-ball cans are being packed into cartons. 22 Sep 2005, 19:40
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Isn't there a proper way( :oops: ) to solve these sums. My sense of logic and math don't go well together!
User avatar
kimmyg
User avatar
Joined: 17 Aug 2005
Last visit: 14 Mar 2006
Posts: 106
Own Kudos:
2,626
Posts: 106
Kudos: 2,626
Cylindrical tennis-ball cans are being packed into cartons. 23 Sep 2005, 05:55
Kudos
Add Kudos
Bookmarks
Bookmark this Post
The OA is 20.

Fresinha and Nakib's logic are correct. You have to put the box in a way to maximize the space and then it's a simple calculation from there



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
Moderator:
Bunuel
Math Expert
109763 posts