Question

A typical human cell is approximately 10.00 10.00 μm in diameter and enclosed by a membrane that is 8.000 8.000 nm thick. What is the volume of the cell including the membrane?

Answer 1

`V_{cell =` 526.12 μm³

Step-by-step explanation:

Given that;

A typical human cell is approximately 10.00 μm in diameter &

enclosed by a membrane that is 8.000 nm thick.

What is the volume of the cell including the membrane?

First, let's determine the radius of the human cell=

=
`(1)/(2)*d`

=
`(1)/(2)*10`

= 5 μm

Now, the radius of the cell including the membrane

= 5 μm + 8.000 nm

= 5 μm + 0.008 μm

= 5.008 μm

The volume of the cell including the membrane is given by the formula:

`V_{cell]= (4)/(3) *\pi *(r_(cell))^3 um^3`

`V_{cell = (4)/(3)*3.142*(5.008)^3um^3`

`V_{cell =` 526.1160731 μm³

`V_{cell =` 526.12 μm³