The diameter of a sphere is double of the diameter of another sphere. Then how much times will be the volume of smaller sphere than the volume of the greater sphere?

Explanation

Let the radius of the smaller sphere be r unit. Then the radius of the greater sphere will be 2r unit, since the diameter of the greater sphere is double of the smaller one. Now, volume of the smaller sphere, `V=(4)/(3)pir^(3)` cu.unit and the volume of the greater sphere
`=(4)/(3)pixx(2r)^(3)"cu.unit"=(4)/(3)pixx8r^(3) "cu.unit"8xx(4)/(3)pir^(3)` cu.unit.
i.e, 8 times of the smaller sphere.
Hence the volume of the greater sphere is 8 times of the volume of the smaller sphere.