if a spheres radius increases x 3 how much with the volume increase

1 answer

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 3, then the new radius is 3r.

So, the new volume of the sphere would be V = (4/3)π(3r)^3 = (4/3)π(27r^3) = 36πr^3.

Therefore, the volume of the sphere would increase by a factor of 36.