How many spherical bullets of diameter 4 cm should be got fro a cube of edges 44 cm ?

Explanation

The volume of the cube = `(44)^(3) "cc"`
The diameter of each spherical bullet = 4 cm
` :.` the radius of each spherical bullet ` = 4/2 ` cm = 2 cm
` :.` the volume of each spherical bullet ` = 4/3 xx 22/7 xx 2^(3) " cc"`
Let the number of bullets to be got = x
So, `x xx 4/3 xx 22/7 xx 2^(3) = (44)^(3)`
` rArr x = ( 44 xx 44 xx 44 xx 3 xx 7 )/(4 xx 22 xx 2xx 2 xx2 ) = 2541 `
Hence the number of required bullets = 2541