Vsphere=4/3pir^3
7500=4/3pir^3
times both sides by 3
22500=4pir^3
divide both sides by 4
5625=pir^3
divide bot sides by pi
1790.4931=r^3
cube root both sides
12.142950=r
2r=d
d=24.28590063 ft
Pascal's triangle up to the 5th iteration is

This tells us

so the second term in the expansion is

It would be the same as moving the decimal three to the right, and that applies to everything, not just the metric system.
This statment only works for linear systems because in non-linear systems it is okay to have more than one soultion
but if the system is linear than you can define it by it two soultions or in other words it takes two points to form a line and if two lines pass through the same points then you can define them by those point and they are the same line