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.
2007-09-07 22:13:50 · 2 answers · asked by Nirmala 4 in Science & Mathematics ➔ Physics
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
2007-09-07 22:57:21 · answer #1 · answered by Anonymous · 1⤊ 0⤋
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
2007-09-08 06:30:13 · answer #2 · answered by Swamy 7 · 1⤊ 0⤋