a typical human cell is approximately 12.00 μm in diameter and enclosed by a membrane that is 5.000 nm thick. what is the volume

Question

1 year ago

9

of the cell including the membrane? to simplify the calculations, model the cell as a sphere.

1 answer:

Murljashka [212] · Answer 1 · 2024-03-26T05:38:47+03:00

Volume of cell including the membrane = 9.07* 10^11 nm³

Given data:

Diameter of human cell = 12.00 μm = 12,000 nm i.e. radius = 6000 nm

thickness of membrane enclosing the human cell = 5.00 nm

Total diameter of cell including membrane = 12,000+ (52) = 12010 nm

Solution:

Volume of cell (sphere) = 4/3πr^3

where: r = 12010 / 2 = 6005 nm

4/3 * π * (6005)^3 = 9.07 * 10¹¹ nm³

Hence, volume of cell aolng with membrane is 9.07 * 10¹¹ nm³

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