SOLUTION: What is the volume of the largest ball that will fit inside a cubical box that has a volume of 64 cubic inches?

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Question 191589: What is the volume of the largest ball that will fit inside a cubical box that has a volume of 64 cubic inches?
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
What is the volume of the largest ball that will fit inside a cubical box that has a volume of 64 cubic inches?
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Volume of the cube = side^3 = 64
side = cbrt(64) = 4
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And diameter of the ball = the length of a side = 4 inches
Volume of the ball = (4/3)pir^3 = (4/3)pi(2^3) = (32/3)pi in^3
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Cheers,
Stan H.What is the volume of the largest ball that will fit inside a cubical box that has a volume of 64 cubic inches?
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Cheers,
Stan H.

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