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Cylindrical tennis-ball cans are being packed into cartons.

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Thelionking1234
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Re: Cylindrical tennis-ball cans are being packed into cartons. [#permalink] New post   12 Jul 2020, 05:14
Anybody has process to solve such question to save time and arrive at exact answer?
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LeenaSai
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Re: Cylindrical tennis-ball cans are being packed into cartons. [#permalink] New post   10 Sep 2020, 20:17
Thelionking1234 wrote:
Anybody has process to solve such question to save time and arrive at exact answer?



Yeah , I am also waiting for the same !

Is it alwys true to take the highest face value and divide by the diameter to get the max number of cans ??

Posted from my mobile device
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SatvikVedala
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Re: Cylindrical tennis-ball cans are being packed into cartons. [#permalink] New post   08 Jan 2023, 09:46
tarek99 wrote:
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. 40


Who so ever, considering π value as 4 (approximation)

The Question is asking for maximum number

In this case, as π is in the denominator ((Volume/area of carton)/(Volume/area of cylinder)), π should be considered 3 instead of 4 so that we get maximum number (of course may not be an integer yet we can approximate)

Is my Question fine - Please let me know your comments
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Maria240895chile
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Re: Cylindrical tennis-ball cans are being packed into cartons. [#permalink] New post   20 Jan 2023, 07:51
catfreak wrote:
Experts, one clarification - If I modify the question little bit and let the new dimensions be 16* 20 * 16
then we can obviously place 20 cylinders as above on the 16*20 base.
Now, there will be 4 inches left in the height of the cuboid and we can place more cylinders in horizontal position over the vertical ones.

Please clarify that shall we consider these extra ones - y/n


Considering a Base of 20, hight of 16 and width of 14. It is possible to put cans vertically , you will have room for 15 and then you can just put 5 horizontally on top. And it still 20 the max number of cans
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Re: Cylindrical tennis-ball cans are being packed into cartons. [#permalink] New post   10 Dec 2023, 03:08
Bunuel need help with a similar problem in the forum where the height is also being taken into consideration:
What is the maximum number of cylinders of height 6 and radius 3 that can fit into an empty box with interior dimensions 12 x 18 x 20?
A. 120
B. 25
C. 18
D. 12
E. 6

Can you please explain what I could be missing here?
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Re: Cylindrical tennis-ball cans are being packed into cartons. [#permalink] New post   10 Dec 2023, 06:43
Expert Reply
BLM wrote:
Bunuel need help with a similar problem in the forum where the height is also being taken into consideration:
What is the maximum number of cylinders of height 6 and radius 3 that can fit into an empty box with interior dimensions 12 x 18 x 20?
A. 120
B. 25
C. 18
D. 12
E. 6

Can you please explain what I could be missing here?


That question is discussed here: https://gmatclub.com/forum/what-is-the- ... 75650.html
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Re: Cylindrical tennis-ball cans are being packed into cartons. [#permalink]
10 Dec 2023, 06:43
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