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26 Nov 2004, 12:50
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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?
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26 Nov 2004, 14:45
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I got 20.
As the radius = 2 => Diameter = 4. So, we can think of the cylinders as boxes with dimension 4*4*12. So, on the surface area of 20*16, we can keep (20/4)*(16/4) = 20 cylinders. Cann't fit anything in rest of the volume left ((14-12)*16*20). So, final answer = 20.
Can anyone think of any easier way of doing it?
ruhi160184 - simply dividing the volumes may not work due to the shape of cyliner. When fit in a box some space will remain between 4 cyliners that cann't be filled.
As the radius = 2 => Diameter = 4. So, we can think of the cylinders as boxes with dimension 4*4*12. So, on the surface area of 20*16, we can keep (20/4)*(16/4) = 20 cylinders. Cann't fit anything in rest of the volume left ((14-12)*16*20). So, final answer = 20.
Can anyone think of any easier way of doing it?
ruhi160184 - simply dividing the volumes may not work due to the shape of cyliner. When fit in a box some space will remain between 4 cyliners that cann't be filled.
HATS OFF TO YOU!! understood it now. 
