how many spherical balls can be made out of a solid metal cube whose edge is measured 12cm and eachball is being 3cm in radius
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radius of cube = 12cm
thus, the volume of cube =a cube or a3
volume of cube is 12*12*12=1728cm cube
radius of sphere = 3cm
thus, the volume of sphere = 4/3pie rcube
volume of the sphere is 4/3*3*3*3= 36cm cube
as the spheres are made from the cube thus the volumes of the cube and the spheres should be equal
let the no of spheres formed be n
this, volume of cube= n* volume of sphere
n= volume of cube /volume of sphere
n= 1728/36= 48
there are 48 spheres formed from the cube of side 12cm
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