The formula for the circumference of a circle (or a sphere) is
.
The formula the volume of a sphere is
.
Assuming 43.4 includes the pi, we can do the equation 
Solving the equation, we get 
Substituting r into the formua for the volume of a sphere, we get 
Solving the cube (probably with a calculator), we get 
It is a bit messy, but we can simplify further by cancelling out the pi's, which leaves us with
.
With the butterfly method (or whatever you may call it), we can cancel out the 4 in the numerator and the 8 in the denominator, and multiply the 3 in the denominators.
Which gets us this: 
Using a calculator, we get our final answer of (about) 1380.44cm^3
This was very messy, I apologize if I did make any mistakes.