The volume increases 27-fold.
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The new volume is 3^3 = 27 times as much.
A [multiplicative] change in one dimension makes the same change in the volume. So the volume would be tripled.
Volume of a sphere of radius r: V = 4pi/3 x r3 If the ratio of the radii of two spheres is 23,then the ratio of their volumes will be 233 = 1,2167
Doubling the radius quadruples the volume.
The volume of a sphere with a radius of 4cm is about 268cm3