This is a very hard question but after various trials I have came up with an answer it is 40%
The formula for the surface area of a sphere is 4πr2. The formula for the volume of a sphere is 4/3πr3.
The volume increases faster. (proportional to the cube of the radius)The surface area increases slower. (proportional to the square of the radius)
The biggest impact I think of: Calculus is how people invented the formulas to get the volume and surface area of spheres/cones/pyramids.
Flatworms have a higher surface area/volume ratio compared to a cylindrical worm, this is one of the reasons for flatworms to have the structure they do.
A smaller cell has a higher surface area to volume ratio. A reason for this is volume is cubic (3D) and surface area is 2D so when surface area increases a little bit, the volume increases exponentially. And when the surface area shrinks a little bit, the volume decreases exponentially.
A cylindrical protist has a higher surface are to volume ratio. This is because of the physical properties of spheres (some rather complicated math proves that spheres hold the most volume for their area).
well each and every geometrical figure has its own importance. Spheres have the least surface area for a given volume compared to any other object of same volume.
If you increase the radius, the volume will increase more than the area.
The formula for the surface area of a sphere is 4πr2. The formula for the volume of a sphere is 4/3πr3.
The volume increases faster. (proportional to the cube of the radius)The surface area increases slower. (proportional to the square of the radius)
They are spheres. They cannot therefore have different geometrical properties. To alter surface to volume ratios you would need to alter the shape. The study of mathematical shapes is called topology.
The biggest impact I think of: Calculus is how people invented the formulas to get the volume and surface area of spheres/cones/pyramids.
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.
Flatworms have a higher surface area/volume ratio compared to a cylindrical worm, this is one of the reasons for flatworms to have the structure they do.
As volume increases surface area increase, but the higher the volume the less surface area in the ratio. For example. A cube 1mmx1mmx1mm has volume of 1mm3 surface area of 6mm2 which is a ration of 1:6 and a cube of 2mmx2mmx2mm has a volume of 8mm3 and surface area of 24mm2 which is a ratio of 1:3.
usually 9 to 13 percent by volume. 11.5 percent is average. fortified wines are higher. alcohol by volume times 0.8 equals alcohol by volume.
The volume increases 27-fold.