If The Volume Of A Sphere Is 500 Pi/3 M3, What Is The Diameter Of The Sphere?

The formula for the volume of a sphere is:
V=4/3 *pi*r³
In the question we are given that:
V=500*pi /3
We know that;
Pi=3.14
So plugging in the information available in the formula above:
500*3.14/3=4/3 *3.14*r³
Multiplying:
1570/3=12.56/3*r³
Dividing:
523.33=4.18*r³
So:
r³=523.33/4.18
Hence:
r³=125.199
Therefore the radius would be:
r=5.002
As radius is twice the diameter the diameter would be:
2r
2(5.002)
=10.004
Hence the diameter is 10.004