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How many spherical bullets can be made o...

How many spherical bullets can be made out of a solid cube of lead whose edge measures 44 cm, each bullet being 4 cm in diameter?

Text Solution

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volume of cube = `(44)^3`
volume of bullet = `4/3 pi (2)^3`
Volume of 1 bullet `xx`n = volume of cube
`4/3 pi xx (2)^3 xx n = (44)^3`
`n = (444/2)^3 xx 3/4 xx 7/22`
`= 22 xx 22 xx 22 xx 3/4 xx 7/22`
`n = 121 xx 21`
`n = 2541`
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