How many receptors could be accomodated in a 100nm

Q. A baby hamster kidney (BHK) cell has the surface area of 3,400 micrometres². Assume that the endocyte clathrin-coated pits account for 2 percent of this area and that surface area of a single coated pit is the same of that of a 100nm diameter clathrin coated vesicle that will be formed from it. If the cell surface has 100,000 transferrin receptors, around 70 percent are localised within coated pits, work out the follow-

If a transferrin receptor has a cross-sectional area of 50 Angstroms X 100 angstroms (5x10nm), and how many receptors could be accomodated in a 100nm clathrin-coated vesicle assume that only 50% of surface area can be occupied by proteins?

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