Volume of a hemisphere = 2/3πr³
Use that formula to find the radius first.
4,601.39 = 2/3(3.14)(r)³
4,601.39 = 2.093r³
4,601.39/2.093 = r³
2198.47 = r³
∛2198.47 = r
13 = r
To find the diameter:
radius * 2 = 13 * 2 = 26
Diameter = 26
Hope this helps :)