Question

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.

Answer 1

`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.