Yes that would work. I have no issue with doing this on paper even by hand without a calculator! If I type in Wolfram Alpha "diameter of sphere of volume 10" it will not only understand the question and interpret it but also return the answer.
If I type "Volume of a sphere of volume of a gold bar" it fails. As does
"Volume of a sphere of volume of a solid of 12.5 kg and a density of 19.3g/cm^3"
Can I get it to solve the problem in one pass?