if a spheres radius increases x 6 how many x will its volume increase

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.