Question

21 glass where each of radius 2cm effect in cuboidal box of internal diameter 6 cm into 8 cm into 8 cm then the box is filled with water find the volume of water filled in the box

Answer 1

Total no. of glass spheres = 21

Radius of each sphere, r = 2 cm

Volume of a sphere = 4/3 x 22/7 x r x r x r

Volume of 21 spheres = 21 x 4/3 x 22/7 x r x r x r

= 21 x 4/3 x 22/7 x 2 x 2 x 2

= 704 cm^3

length of cuboidal box = 16 cm

Breadth of cuboidal box = 8 cm

Height pf cuboidal box = 8 cm

Vol. of cuboidal box = lbh

= 16 x 8 x 8 = 1024 cm^3

Vol. Of water filled in the box = Vol of cuboidal box - Vol. of spheres

= 1024-704 = 320 cm ^3