Posted by **Lisa ** on Saturday, February 2, 2013 at 5:54pm.

The volume of a red blood cell is about

90.0*10^-12cm^3

Assuming that the red blood cells are spherical, what is the diameter of a red blood cell in millimeters?

- Chem Help!! -
**Devron**, Saturday, February 2, 2013 at 5:59pm
volume of a sphere=90.0 x 10^-12cm^3 =4/3πr^3

Solve for r

r={[(90.0 x 10^-12cm^3)*(3/4)]/π}^1/3

The units that you will get will be in cm, so multiply your answer by 10^-1 to get mm.

- Chem Help!! -
**DrBob222**, Saturday, February 2, 2013 at 6:01pm
V sphere = (4/3)*pi*r^3

90E-12 = (4/3)*pi*r^3

r^3 = ?

r = ?

diameter = 2*r = ? in cm

Convert to mm.

- Chem Help!! -
**DrBob222**, Saturday, February 2, 2013 at 6:03pm
Devron, I believe you multiply cm x 10 to convert to mm.

- Chem Help!! -
**Devron**, Saturday, February 2, 2013 at 6:09pm
Typo, 10^1, which is 10.

I apologize. Thank you for catching that for me, and multiply r by 2 afterwards to get the diameter.

- Chem Help!! -
**Lisa **, Saturday, February 2, 2013 at 6:12pm
When I converted with Devron method I got

27.8*10^-6mm

When I did it Bob's way I got 27.8*10^-5

is this correct?

- Chem Help!! -
**Lisa **, Saturday, February 2, 2013 at 6:18pm
After I multiplied by 2 I got a final answer of 0.000556mm

- Chem Help!! -
**Devron**, Saturday, February 2, 2013 at 6:58pm
volume of a sphere=90.0 x 10^-12cm^3 =4/3πr^3

Solve for r

r={[(90.0 x 10^-12cm^3)*(3/4)]/π}^1/3

The units that you will get will be in cm, so multiply your answer by 10 to get mm, and multiply by 2 afterwards to get the diameter.

The methods that I and Dr. Bob222 both showed you are the same. I calculated 5.56 x10-3 mm, but double check my calculations.

- Chem Help!! -
**Lisa **, Saturday, February 2, 2013 at 7:22pm
ok cool thanks for your help

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