Question

How many spherical balls each of radius 1 cm can be made from a solid sphere of lead of radius 12 cm

Answer 1

volume of sphere
$\frac{4}{3} \pi(r) {}^{3}$
Radius of bigger sphere is 12cm
Radius of smaller spheres are 1 cm each
let no. of smaller balls be X
$x( \frac{4}{3} ) (\frac{22}{7} )(1) {}^{3} = (\frac{4}{3}) ( \frac{22}{7})(12) {}^{3} \\ x = \frac{4}{3} \times \frac{3}{4} \times \frac{22}{7} \times \frac{7}{22} \times \frac{ {12}^{3} }{ {1}^{3} } \\ x = \frac{1728}{1}$
no. of smaller sphere balls of radius 1 cm made out from sphere of 12 cm is 1728
Please mark it as brainliest answer.