If a radius of a sphere increase by a factor of 4 what does the factor of the volume increase?

64

The formula to find the volume of a sphere is

4/3 * pi * r3

where r is the radius of the sphere. So if the radius is increased by a factor of 4, then the formula becomes

4/3 * pi * (4r)3 = 4/3 * pi * 64r3

showing that the volume increases by a factor of 64.