Diffusion occurs across all surfaces of the cell


A cell is adhered to a surface, assuming the shape of a short, fat cylinder or disc. In this condition, it is getting 100% of its requirements of some nutrient by diffusion across its membrane. After being released from the surface, it assumes a new shape - that of a sphere. The change in shape does not change the cell's volume or its requirements of this nutrient. Assuming that the permeability of the membrane also remains constant, what fraction of the cell's requirement of this nutrient are being met by diffusion after being released from the surface? Let the radius of the spherical cell be 50μm, the height of the cylindrical cell be 10μm, and assume that diffusion occurs across all surfaces of the cell.

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Physics: Diffusion occurs across all surfaces of the cell
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