An average platelet is a cylinder 2 um in diameter and 0.2 m in height. Platelets have approximately 75,000 integrin molecules on their membrane surface. If each integrin molecule is represented as a cylinder that is 10 nm in diameter, what percentage of the platelet surface area is covered by integrins?

Respuesta :

Answer:

93.75 %

Explanation:

Base surface area of a cylinder is given by

[tex]2(pi)r^2[/tex]

where r is the radius and h is the height

The surface area of platelet is

[tex][tex]2(pi)r^2[/tex]\\ 2 * 3.14* (\frac{2*10^{-6}}{2})^2\\ 6.28*10^{-12}\\6.28 *10^{-12}[/tex]

Surface area of a integrin molecule

[tex]3.14 * (5 *10^{-9})^2\\75000 * 7.85 * 10^-17\\= 5.8875 *10^{-12}[/tex]

Percentage share of surface area

[tex]\frac{5.8875 * 10^{-12}}{6.28* 10^{-12}} * 100\\93.75[/tex]

93.75 %