Question

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


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Answer 1

Answer:

Let there are n spherical bullets that can be made out of the solid cube. So, there can be 2541 spherical bullets can be made out of the solid cube.

Answer 2

Answer:

Let the total number of bullets be x

Radius of a spherical bullet = 4/2 = 2 cm

Now, volume of a spherical bullet = 4/3π × (2)3 = 4/3 × 22/7 × 8

∴ Volume of x spherical bullets = 4/3 × 22/7 × 8 × x cm3

Volume of the solid cube = (44)3 cm3

Clearly, volume of x spherical bullets = volume of cube

4/3 × 22/7 × 8 × x = 44 × 44 × 44

x = 44 × 44 × 44 × 7× 3/4 × 22 × 8

= 2541

Hence, total number of spherical bullets are 2541.

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