Question

How many solid spheres of 2/3cm radius can be made from a solid sphere of 2 cm radius

Answer 1

Heya mate, Here is ur answer

$volume \: of \: big \: sphere \: = \frac{4}{3} \pi \: r {}^{3}$


$= \frac{4}{3} \pi \times 2 \times 2 \times 2$


Volume of 1 smaller sphere=

$= \frac{4}{3} \pi \: r {}^{3}$

$= \frac{4}{3} \pi \times \frac{2}{3} \times \frac{2}{3} \times \frac{2}{3}$

Number of spheres

$= \frac{volume \: of \: bigger \: sphere \: }{volume \: of \: smaller \: sphere}$

$= \frac{ \frac{4}{3} \times \pi \times 2 \times 2 \times 2 }{ \frac{4}{3} \pi \times \frac{2}{3} \times \frac{2}{3} \times \frac{2}{3} }$

$= \frac{2 \times 2 \times 2}{ \frac{2}{3} \times \frac{2}{3} \times \frac{2}{3} }$

$= \frac{8}{ \frac{8}{27} }$

$= 8 \times \frac{27}{8}$

=27

So, Number of spheres that can be made =27 .

Warm Regards

@Laughterqueen

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