SOLUTION: how many 3 inch in diameter balls will fit into 5.2 and 7.6 cubic feet

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Question 336950: how many 3 inch in diameter balls will fit into 5.2 and 7.6 cubic feet
Found 2 solutions by solver91311, mananth:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Impossible to tell from just the volume. For example, I could design a very long skinny box that was 2 inches by 2 inches by 273.6 feet into which you would not be able to fit any 3 inch diameter balls.

You need to provide the length, width, and height of each of your boxes.

John

My calculator said it, I believe it, that settles it

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
3"=1/4 feet
1.5 " = 1/8 feet Radius
..
volume of sphere = %284%2F3%29+%2Api%2Ar%5E3
V= +%284%2F3%29+%2A+pi%2A%281%2F8%29%5E3%29
V= 0.00818 cu.feet
..
5.2 cu.feet volume
Vol of 1 sphere = 0.00818
number of spheres = 5.2/0.00818
635.7 balls