w The volume of a ball is 26244 pie cm3. Find the dimensions of a rectangular box that is just large enough to hold the ball.

Question

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Answer 1

Ball volume = 4πr³/3=26244 where r=radius, so r³=¾×26244=19683=27³, making r=27cm.

Ball diameter=2×27=54cm.

The box must be a cube with 54cm sides and volume 54³=157464cm³ (height=length=width=54cm).