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?
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.
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.
Devron, I believe you multiply cm x 10 to convert to mm.
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.
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?
After I multiplied by 2 I got a final answer of 0.000556mm
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.
ok cool thanks for your help
To find the diameter of a red blood cell, given its volume and assuming it is spherical, we can use the formula for the volume of a sphere:
V = (4/3) * π * r^3
Where:
V is the volume of the sphere,
π is a mathematical constant approximately equal to 3.14159,
and r is the radius of the sphere.
In this case, we have the volume of the red blood cell, which is given as 90.0 * 10^-12 cm^3.
Let's solve for the radius first by rearranging the formula:
r = (3 * V / (4 * π))^(1/3)
Now, substitute the given volume into the formula:
r = (3 * (90.0 * 10^-12) / (4 * π))^(1/3)
Calculating this using a calculator:
r ≈ 3.09 * 10^-4 cm
Since the radius represents half of the diameter, to find the diameter, we multiply the radius by 2:
diameter ≈ 2 * (3.09 * 10^-4) cm
Lastly, we convert the diameter to millimeters by dividing by 10:
diameter ≈ 2 * (3.09 * 10^-4) / 10 mm
Simplifying this expression will give us the answer to the question.