Question

Find the number of balls each of radius 1cm . Can be made from a solid sphere of lead of radius 6cm

Answer 1

R=6 cm

R=1 cm

Let no. of lead balls be 'n'

Vol. of sphere = n x Vol of 1 lead ball

4/3 pi R^3 = n x 4/3 pi r^3

4/3 pi R^3 = n x 4/3 pi r^3

6 x 6 x 6 = n x 1×1×1

216 = n

Therefore, n = 216 lead balls