2008 October 5th, 12:59 PM
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#1 (permalink) |
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TestMagic Guru-in-Training
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Join Date: Dec 2006
Posts: 585
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Tennis balls ??
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?
 12 15 20 24 40 |
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2008 October 5th, 01:21 PM
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#2 (permalink) |
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Gone in 120 sec
Join Date: Mar 2008
Posts: 608
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20.
We need to fit the maximum number of cans and hence we need to make sure that the empty space in the carton should be min. As the height is 12; choose the side 14 as the height so that only 2 inches are wasted above the placed cans. If we choose 16 or 20 then more than 2 inches are wasted. Now we need to fit 4 inch diameter circles in a rectangular box of 16*20. We can fit 4 rows (with 5 cans in a row). Hence 20. |
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2008 October 6th, 06:47 PM
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#6 (permalink) |
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I JUST got here.
Join Date: Sep 2008
Posts: 14
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This is what I think,
Take 20 as the height. As the tennis cans are 12 inches in height, first arrange the tennis cans, standing, over an area of 14*16. U get 14 cans in. Now we have 8 inches left out in the height part. Get the tennis cans in horizontally. Got the point??? Which means, we have a volume of 8*14*16 and we have a tennis can of 4*4*12. That is 9 cans. That makes the total 23...  Pls. correct me if I am wrong. |
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