Question

1.Metal spheres, each of radius 2 cm, are packed into a rectangular box of intemal
dimensions 16 cm x 8 cm x 8 cm. When 16 spheres are packed the box is filled
with preservative liquid. Find the volume of this liquid. Give your answer to the
ncarest integer. (User=3.14]​

Answer 1

Answer:

488 cm³

Step-by-step explanation:

Volume of metal sphere = 4/3πr³

= 4/3 ×3.14×2³

= 1.3×3.14×8

= 33.49

= 33.5

Volume of 16 sphere = 33.5×16

= 536cm³

Volume of cuboid =lbh

=16×8×8

= 1024cm³

vol of liquid = volume of cuboid- volume of 16 sphere.

= 1024-536

= 488 cm³