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?

Answer 1

2541  spherical bullets can be made out of a solid cube of lead whose edge measures 44 cm, each bullet being 4 cm in diameter

Solution:

Find the volume of bullet:

Diameter = 4 cm

$Radius = \frac{diameter}{2}$

Radius = 4/2 = 2 cm

The bullet is of spherical shape

$\text{ volume of sphere } = \frac{4}{3} \pi r^3\\\\\text{ volume of sphere } = \frac{4}{3} \times \frac{22}{7} \times 2^3\\\\\text{ volume of sphere } = \frac{704}{21}\ cm^3$

Find volume of cube of lead

Edge = 44 cm

$\text{volume of cube } = a^3$

Where, "a" is length of side

$\text{volume of cube } = 44^3\\\\\text{volume of cube } = 85184\ cm^3$

Find the number of bullets made:

$\text{ Number of bullets } = \frac{\text{ volume of cube }}{\text{ volume of bullet }}\\\\\text{ Number of bullets } = \frac{85184}{704} \times 21\\\\\text{ Number of bullets } = 2541$

Thus 2541 bullets can be made

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Answer 2

Answer:

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