Question

Metal spheres each of radius 2 cm are packed into a rectangular box of dimensions $16cm\times 8cm\times 8cm$. When 16 spheres are packed the box is filled with preservative liquid. Find the volume of this liquid.$(\pi =3.14)$

Answer 1

Volume of 16 spheres=$16\times \left(\frac{4}{3}\right)3.14\times 2^3=535.893c{m}^2$
Volume of the box= $16\times 8\times 8=1024c{m}^2$
Volume of fluid= volume left= $1024-535.893=488.107c{m}^2$