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As the surface to volume ratio increases the rate of in exchange increases too.
maximize surface area and minimize volume
The surface-area-to-volume-ratio
A cell is roughly spherical in shape and the relationship between surface area and volume is therefore expressed by:-The volume of a sphere of radius R is (4/3)*Pi*R3.The surface area of a sphere of radius R is 4*Pi*R2The surface area to volume ratio is therefore 3/RAs the radius R gets bigger the ratio gets smaller.
Cell size is limited by volume.Surface area to volume ratio (surface area / volume)Nucleo-cytoplasmic ratioFragility of cell membraneMechanical structures necessary to hold the cell together (and the contents of the cell in place)
There is no direct relationship.
As the surface to volume ratio increases the rate of in exchange increases too.
As the volume of a cell grows, the surface area grows but not as quickly.
maximize surface area and minimize volume
The ratio of the surface area of a cube to its volume is inversely proportional to the length of its side.
The larger the surface area to volume ratio of a cell, the smaller its size (and vice versa).
The surface-area-to-volume-ratio
The relationship between the percent volume (not reached by the stain) and the surface area-to-volume ratio would be that the bigger the agar cube size (surface area to volume ratio), the bigger the percent volume. This is true because resources need to travel a farther distance through the cell ("cover more ground", so to speak) in order to be evenly distributed through the cell.
A cell is roughly spherical in shape and the relationship between surface area and volume is therefore expressed by:-The volume of a sphere of radius R is (4/3)*Pi*R3.The surface area of a sphere of radius R is 4*Pi*R2The surface area to volume ratio is therefore 3/RAs the radius R gets bigger the ratio gets smaller.
The higher the ratio, the faster the rate of diffusion
The surface-to-volume ratio is a mathematical relationship between the volume of an object and the amount of surface area it has. This ratio often plays an important role in biological structures. An increase in the radius will increase the surface area by a power of two, but increase the volume by a power of three.
Cell size is limited by volume.Surface area to volume ratio (surface area / volume)Nucleo-cytoplasmic ratioFragility of cell membraneMechanical structures necessary to hold the cell together (and the contents of the cell in place)