Question

how many spherical bullets can be made out of a solid cube of lead whose edge measures 44 cm and each bullet being 8 cm in diameter
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Answer 1

Let the total number of bullets be x

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

Volume of a spherical bullet = 4/3 π x (2)³ cm³

= (4/3 x 22/7 x 8)

Volume of x spherical bullets =

{4/3 x 22/7 x 8 x (x) }cm³

Volume of solid cube = (44)³ cm³

Clearly, volume of x spherical bullets = Volume of cube

= [4/3 x 22/7 x 8 x (x) ] = (44)³ cm³

= [4/3 x 22/7 x 8 x (x) ] = 44 x 44 x 44

$x \: = \frac{44 \times 44 \times 44 \times 3 \times 7}{4 \times 22 \times 8} = 2541$

∴ Total number of bullets=2541