SOLUTION: The length of the side of a cubical box is 12cm. What is the volume (in terms of x) of the largest ball than can be placed in it?

Question 808178: The length of the side of a cubical box is 12cm. What is the volume (in terms of x) of the largest ball than can be placed in it?
Answer by JBarnum(2146) (Show Source): You can put this solution on YOUR website!
ooh this sounds fun
volume of the cube box is
SINCE ITS A CUBE ALL SIDES ARE THE SAME IF THEN
BUT YOU DON'T WANT THE VOLUME OF THE BOX BUT OF THE BIGGEST BALL THAT CAN FIT INSIDE INSIDE
WE NEED THE VOLUME OF A SPHERE WITH A RADIUS OF 6CM
VOLUME OF A SPHERE:

now depending on how thick the sides of the boxes are will decrease this maximum value of this box. technically it is a tad bit less then the above number so rounding down would be sufficient at
hope this helps
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