# SOLUTION: a billiard ball is inscribed in a plastic cubical box having a volume of 2744 mm^3. what is the ratio of the billiard ball to that of the volume of the plastic cubical box

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 Question 727397: a billiard ball is inscribed in a plastic cubical box having a volume of 2744 mm^3. what is the ratio of the billiard ball to that of the volume of the plastic cubical boxAnswer by KMST(2478)   (Show Source): You can put this solution on YOUR website!The diameter of the ball is the same as the width of the box, and 2 times the radius. The formula for volume of a sphere says that a ball of the radius has a volume of A cube-shaped box of inside width has an inside volume of The ratio of the volumes is --> --> The sizes of ball and box do not matter. As long as the ball fits tightly in the box, and the box is cube-shaped, the ratio is the same. NOTE: If you are curious, and that would make the diameter of your billiard ball 14mm. That is way too small, marble size. I did not use a calculator to find I just divided 2744 by 2, by 2, by 2, and by 7 to get 49 and realize that the prime factorization is so I knew that