Question

How many spherical balls of diameter 1 meters can be packed into cuboidal box of size 4×3×2 meter?

Answer 1

$\huge{\mathcal{\blue{\underline{Answer}}}}$

first , the volume of the spherical balls of diameter 1 metre

$= \frac{4}{3} \pi \: r {}^{3} \\ = \frac{4}{3} \times \frac{22}{7} \times (1m) {}^{3} \\ = 4m {}^{3} (approx)$

Now the volume of the cuboidal box :

$= l \times b \times h \\ = 4m \times 3m \times 2m \\ = 24m {}^{3}$

The number of spherical box that can be packed into the cuboidal box :

= volume of cuboidal box / volume of spherical box

$= \frac{24m {}^{} }{4m {}^{3} }$

$\huge{\mathcal{\implies{\blue{\underline{6balls}}}}}$