Question

find the number of balls of 1 cm radius that can be formed by a sphere of 4 cm radius

Answer 1

Radius of sphere=4cm

Volume of sphere=4/3piercube=4/3×22/7×4×4×4

Now,radius of ball=1cm

Ball is a sphere,so volume of this sphere ball=4/3piercube=4/3×22/7×1×1×1

Now,no.of balls= volume of original sphere/volume of this sphere.......solve it and check it

Answer 2

$volume \: of \: sphere = \frac{4}{3} \times {r}^{3} \times \pi \\ volume \: of \: sphere \: of \: radius \: 1cm = \frac{4}{3} \times \frac{22}{7} \times {1}^{3} \\ = \frac{4}{3} \times \frac{22}{7} = \frac{88}{21} {cm}^{3} \\ volume \: of \: sphere \: of \: radius \: 4cm = \frac{4}{3} \times \frac{22}{7} \times {4}^{3 } \\ = \frac{5632}{21} {cm}^{3} \\ no \: of \: balls = \frac{5632}{21} \div \frac{88}{21} \\ = \frac{5632}{21} \times \frac{21}{88} \\ = \frac{5632}{88} \\ = 64 \\ therefore \: 64 \: balls \: can \: be \: obtained$