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Question

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.

A
2451
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B
2541
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C
2304
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D
2536
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Solution

The correct option is A 2541

Number of spherical bullets formed =VolumeofcubeVolumeofonesphericalbullet
Volume of a cube of edge a =a3


Volume of a sphere of radius 'r' =43πr3
As the diameter of the sphere is 4 cm, its radius r =2 cm


Hence, number of spherical bullets formed =44×44×4443×227×2×2×2=2541


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