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*R2
The surface area to volume ratio is therefore 3/R
As the radius R gets bigger the ratio gets smaller.
As the volume of a cell grows, the surface area grows but not as quickly.
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
The relationship between the radius and surface area depends on the shape and that is why some cells are spherical while others are flattened. The greater the SAV ratio of an object, the greater the scope for surface reactions of the object with its surroundings.
mass / volume is density.
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.
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.
The higher the ratio, the faster the rate of diffusion
The relationship between the formulas is that in all the radius is cubed.
The relationship between stroke volume and pump rate?