Metal sphere, each of radius 2 cm, are packed into a rectangular box of internal dimension `16 cm xx 8 cm xx 8 cm`. When 16 spheres are packed the box is filled with presrvative liquied .Find the volume of this liquid. Give your answer to the nerest interger. [ use `pi = 3.14`].

Explanation

Given, dimension of the cuboidal `= 16 cm xx 8 cm xx 8 cm `
` therefore ` Volume of the cuboid `= 16 xx 8 xx = 1024 cm^(3)`
Also, given radius of one glass sphere = 2 cm
`therefore ` Volume of one glass sphere `= (4)/(3) pir^(3) = (4)/(3) xx (22)/(7) xx (2)^(3)`
`" "= (704)/(21) = 33.523 cm^(3)`
Now, volume of 16 glass sphere `= 16 xx 33.523 cm^(3)`
`therefore ` Required volume of water = Volume of cuboidal - Volume of 16 galss spheres
`" "= 1024- 536.37 = 487.6 cm^(3)`