Express the volume of a sphere as a function of its radius. What is the domain of this function? Does this function have an inverse? If so what is it?

Answer 1

Volume of a sphere V=(4*Pi)/3*r^3
Domain all real numbers you can cube any real number and multiply it by another real number.
This is a one to one cubic with an inverse.
Solve for v in r=(4*Pi)/3*v^3 to find it.
It is v= (1/4)* (3^1/3)*(4^2/3)*(r/Pi)^1/3