Question

How many bullet can be made out of a cube of lead, whose edge measures 22 cm, each bullet being 2 cm in diameter?

Answer 1

2543 bullets can be made out of a cube of lead, whose edge measures 22 cm, each bullet being 2 cm in diameter

Solution:

Find the volume of bullet:

Diameter = 2 cm

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

Radius = 2/2 = 1 cm

The bullet is of spherical shape

$\text{ volume of sphere } = \frac{4}{3} \pi r^3\\\\\text{ volume of sphere } = \frac{4}{3} \times 3.14 \times 1^3\\\\\text{ volume of sphere } = 4.1867\ cm^3$

Find volume of cube of lead

Edge = 22 cm

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

Where, "a" is length of side

$\text{volume of cube } = 22^3\\\\\text{volume of cube } = 10648\ cm^3$

Find the number of bullets made:

$\text{ Number of bullets } = \frac{\text{ volume of cube }}{\text{ volume of bullet }}\\\\\text{ Number of bullets } = \frac{10648}{4.1867}\\\\\text{ Number of bullets } = 2543$

Thus 2543 bullets can be made

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