The tennis ball.
But do you know why?
The anser to that is in the relationship between the fomula for a shere's volum and that of it's surface area.
Area is a radius squared function whereas volume is a radius cubed function.
By widening the feathers
A tennis ball
Volume
The surface area to volume ratio will increase
DNA, Diffusion, and Surface Area to Volume Ratio.
As the cell grows larger the ratio of surface area to volume increases. Larger cell = more volume for the amount surface area.
By adding elongated extensions to the cell the surface area to volume ratio will be increased. One good example of a type of cell that can get very large but still have adequate oxygen diffusion rates is a neuron, some of which can have meters long axons in some animals.Flatten it. The shape should be as far from spherical, and the cross section as far from circular as possible.
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.
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.
No. A sphere has the smallest surface to volume ratio possible and a basketball is nearly spherical in shape (it has surface dimpling and seams).
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.
Volume
If all other dimensions of the cell remain the same, both surface area and volume should increase if the diameter is increased.
They both increase. The rate of increase of the surface area is equivalent to the rate of increase of the volume raised to the power 2/3.
If you increase the radius, the volume will increase more than the area.
On first analysis, the basketball would appear to have the higher ratio (regardless of units of measure due to its larger size). But the situation could be interpreted as being rather more complicated than that. The tennis ball is thoroughly covered in very fine fibers, and the basketball has a surface that is dimpled. Both surfaces increase the surface area of their respective objects, but the high aspect ratio fibers of the tennis ball are massively more significant in this effect. Thus, when considering the actual surfaces, the correct answer would appear to be the tennis ball, by a fairly large margin.
increase surface area for a given volume
with the mucus
The surface area to volume ratio will increase