The volume of a sphere is given by the formula V = (4/3)πr^3, where r is the radius of the sphere.
If the radius of the sphere increases by a factor of x, then the new radius would be x times the original radius.
Let's say the original radius is r, then the new radius would be x*r.
The new volume of the sphere would be V_new = (4/3)π(xr)^3 = (4/3)πx^3r^3.
To find out how many times the volume has increased, we can divide the new volume by the original volume:
V_new/V = (4/3)πx^3r^3 / (4/3)πr^3 = x^3.
Therefore, if the radius of a sphere increases by a factor of x, its volume will increase by a factor of x^3.
if a spheres radius increases x 6 how many x will its volume increase
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