Question

How many balls, each of radius 1 cm, can be made from a solid sphere of lead of radius 8 cm?

Answer 1

Answer is in the above attachment

Answer 2

Answer:

Number of small balls required to make a solid lead sphere (n)=512

step-by-step explanation:

Given radius of the each small

ball (r) = 1cm

Radius of lead solid sphere made by small balls (R)=8cm

Let number of small balls required to made solid lead sphere = n

We know that :

Volume of sphere ( V ) = 4/3πr³.

Now ,

$n = \frac{Volume\: of\: solid \:sphere}{Volume\: of\: each \:small \:ball}$

$\implies n = \frac{\frac{4}{3}\times \pi R^{3}}{\frac{4}{3}\times \pi r^{3}}$

$\implies n = \frac{R^{3}}{r^{3}}$

$\implies n = \frac{8^{3}}{1^{3}}$

$\implies n = 8\times 8 \times 8.$

$\implies n = 512$

Therefore,

Number of small balls required to

make a solid lead sphere (n)=512.

Hence, it is solved.