Metal spheres, each of radius 2 cm are packed into a rectangular box of dimensions 16 cm 8 cm 8 cm. When 16 spheres are packed into the box, it is filled with preservative liquid. Find the volume of this liquid to the nearest integer. [Use= 3.14]

Asked by Topperlearning User | 7th Apr, 2014, 12:13: PM

Expert Answer:

Volume of cubical box = l b h

= 16 8 8 cm3

= 1024 cm3

Volume of sphere =

= 33.49 cm3

Volume of 16 spheres = 16 cross times 33.49 equals 535.84 space c m cubed

Volume of liquid = Volume of box minus Volume of spheres

= (1024 minus 535.84) cm3

= 488.16 cm3

Answered by  | 7th Apr, 2014, 02:13: PM