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attashe74 [19]
3 years ago
14

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 i

s the volume of the cell including the membrane?
Biology
1 answer:
fredd [130]3 years ago
3 0

Answer:

V_{cell = 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=

= \frac{1}{2}*d

= \frac{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]= \frac{4}{3} *\pi *(r_{cell})^3 um^3

V_{cell  = \frac{4}{3}*3.142*(5.008)^3um^3

V_{cell = 526.1160731 μm³

V_{cell = 526.12 μm³

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