Question

How many balls, each of diameter 2cm, can be made from a solid sphere of radius 8cm?

Answer 1

volume of big ball=4/3×π×8×8×8
4/3×π×512
volume of small balls=4/3×π×111
4/3π
number of ball=4/3×π×512÷4/3×π
=512balls

Answer 2

Let the number of ball be x

Volume of Solid sphere = 4/3πr³

=> 4/3π ( 8 )³

Volume of one ball = 4/3πr³

=> 4/3 π ( 2 )³



$no \: of \: ball = \frac{volume \: of \: solid \: sphere \: }{volume \: of \: ball}$


$x = \frac{ \frac{4}{3} \pi( {8}^{3} )}{ \frac{4}{3} \pi( {2}^{3} )}$


$x = \frac{8 \times 8 \times 8}{2 \times 2 \times 2}$

x = 64


The required number of ball is 64