SOLUTION: 12 cans are packed in a box. Each has a diameter of 4cm and also a height of 4cm. What is the volume of the remaining space in that box?

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Question 891320: 12 cans are packed in a box. Each has a diameter of 4cm and also a height of 4cm. What is the volume of the remaining space in that box?
Found 2 solutions by Fombitz, Alan3354:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
First find the volume of one can.
V%5Bc%5D=pi%28D%2F2%29%5E2%2AH
V%5Bc%5D=pi%284%2F2%29%5E2%2A4
V%5Bc%5D=16pi
There are 12 cans so the total volume of cans is
V%5Btc%5D=12%2832pi%29
V%5Btc%5D=192picm%5E3
.
.
.
Assuming the box is 1 can high, 2 cans wide, and 6 cans deep.
The width of the box would be 2D.
The height of the box would be H.
The depth of the box would be 6D.
So the total volume of the box would be,
V%5Bb%5D=2D%2AH%2A6D
V%5Bb%5D=2%284%29%284%296%284%29
V%5Bb%5D=768 cm%5E3
So then the difference is,
V%5Bdiff%5D=768-192picm%5E3

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Depends on the size of the box.