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A typical human cell is approximately 10.00 μm in diameter and enclosed by a membrane that is 4.000 nm thick. What is the volume of the cell including the membrane? To simplify the calculations, model the cell as a sphere. Enter your answers using four significant figures.

User Ed Prince
by
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1 Answer

5 votes

Answer:


524.5903\mu m^(3)

Step-by-step explanation:

Given that, consider the model of a cell as a sphere.

The size of the human cell is
10\mu m.

And its radius will become
r_(c)=(10\mu m)/(2) =5\mu m

And the size of the membrane is
4 nm.

Now the radius of the cell with the membrane is,


r=r_(c)+r_(m)\\r=5\mu m+4nm\\r=5\mu m+0.004\mu m\\r=5.004\mu m

Now volume with the membrane will be,


V=(4)/(3)\pi r^(3) \\V=(4)/(3)\pi (5.004)^(3)\\V=(4)/(3)\pi* 125.30024\\V=524.5903\mu m^(3)\\

This is the required volume of cell with the membrane.

User Jeffrey Sarnoff
by
8.8k points
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