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

 It is currently 03 May 2015, 05:22

### 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

# Cylindrical tennis-ball cans are being packed into cartons.

Author Message
TAGS:
Manager
Joined: 17 Aug 2005
Posts: 167
Followers: 1

Kudos [?]: 53 [0], given: 0

Cylindrical tennis-ball cans are being packed into cartons.  [#permalink]  22 Sep 2005, 05:09
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
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
Manager
Joined: 04 May 2005
Posts: 133
Location: Chicago
Followers: 1

Kudos [?]: 5 [0], given: 0

I got 20 [#permalink]  22 Sep 2005, 05:35
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.
_________________

Christopher Wilson

Manager
Joined: 06 Aug 2005
Posts: 197
Followers: 3

Kudos [?]: 5 [0], given: 0

I made it 91 = (20/2 * 16/2) + 20/2 + 1

Have I missed something?
Current Student
Joined: 28 Dec 2004
Posts: 3391
Location: New York City
Schools: Wharton'11 HBS'12
Followers: 13

Kudos [?]: 181 [0], given: 2

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...
Senior Manager
Joined: 27 Aug 2005
Posts: 332
Followers: 2

Kudos [?]: 40 [0], given: 0

Staggering the rows cans would allow more to fit than placing them side-by-each in neat rows, though.
VP
Joined: 22 Aug 2005
Posts: 1123
Location: CA
Followers: 1

Kudos [?]: 43 [0], given: 0

Does anyone knows standard way to solve this?
SVP
Joined: 28 May 2005
Posts: 1743
Location: Dhaka
Followers: 6

Kudos [?]: 72 [0], given: 0

duttsit wrote:
Does anyone knows standard way to solve this?

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.
_________________

hey ya......

Director
Joined: 23 Jun 2005
Posts: 847
GMAT 1: 740 Q48 V42
Followers: 5

Kudos [?]: 31 [0], given: 1

Isn't there a proper way( ) to solve these sums. My sense of logic and math don't go well together!
Manager
Joined: 17 Aug 2005
Posts: 167
Followers: 1

Kudos [?]: 53 [0], given: 0

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
Similar topics Replies Last post
Similar
Topics:
The Orloff Candy Company packs its cylindrical candy treats 2 22 Oct 2010, 10:21
39 Cylindrical tennis-ball cans are being packed into cartons. 18 03 Dec 2007, 08:01
How many cylindrical cans with a radius of 2 inches and a 4 08 Dec 2006, 14:53
tennis_ball 9 01 Oct 2006, 20:13
How many cylindrical cans with a radius of 2 inches and a 3 20 Oct 2005, 23:09
Display posts from previous: Sort by