Answer:
[tex]V_{cell =[/tex] 526.12 μm³
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=
= [tex]\frac{1}{2}*d[/tex]
= [tex]\frac{1}{2}*10[/tex]
= 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:
[tex]V_{cell]= \frac{4}{3} *\pi *(r_{cell})^3 um^3[/tex]
[tex]V_{cell = \frac{4}{3}*3.142*(5.008)^3um^3[/tex]
[tex]V_{cell =[/tex] 526.1160731 μm³
[tex]V_{cell =[/tex] 526.12 μm³
