For some research, help needed to calculate diameter of a sphere of volume 306.4 micro liters?

For some medical research, I need to calculate the diameter of a sphere having a volume of 306.4 micro liters. I am looking for the answer in mm, however small it is, as that is the units we are working in. My maths is very rusty , so any help will be much appreciated.

For some research, help needed to calculate diameter of a sphere of volume 306.4 micro liters?
since 1L=1dm^3


1mL=1cm^3


1 uL=1 mm^3





v=306.4 mm^3





v(sphere)=4/3 pi r^3


306.4=4/3*pi*r^3


306.4*3/4=pi*r^3


pi*r^3=229.8


r^3=229.8/pi


=73.1476


r=4.182154286 mm


diameter=2r


=8.364308572 mm
Reply:Microliter = 1000 / 1000000 = 1/1000 cc = 1 cubic mm





Volume of sphere = 4/3.pi.r^3 where pi=3.1416 = 306.4





So, r^3 = (306.4 x 3) / (4 x 3.1416) = 73.147





r = 4.18 to 4.2 mm approx.





Diameter = 2 x radius = 8.36...mm