If all other dimensions of the cell remain the same, both surface area and volume should increase if the diameter is increased.
Although they do not increase at the same rate, as the surface area increases the volume increases slowly.
the increase more than usual
It decreases. As the dimensions increase by a number, the surface area increases by the same number to the power of 2, but the volume increases by the same number to the power of 3, meaning that the volume increases faster than the surface area.
The smallest surface area for a given volume is a sphere. A spherical object such as a balloon represents the minimum energy required to maintain the volume of the material within. A balloon filled with water if stretched will increase the surface area of the balloon without altering the volume as water is non-compressible. Any alternative shape that encloses the same volume will have a larger surface area than a sphere. A perfect example is a drop of liquid in a zero gravity environment which will vibrate when intially created but will gradually slow to a stop and take the form of a perfect sphere.
To increase surface area, a cell will have to grow. But most cells have restraints that interfere with too much growth. Only cancer cells don't bide by the rules.
The volume is proportional to the cube of the diameter, but the area, only to the square of the diameter. For example, if you double the diameter, the area will increase by a factor of 4, and the volume, by a factor of 8. Thus, the area/volume ratio will worsen, by a factor of 2.The volume is proportional to the cube of the diameter, but the area, only to the square of the diameter. For example, if you double the diameter, the area will increase by a factor of 4, and the volume, by a factor of 8. Thus, the area/volume ratio will worsen, by a factor of 2.The volume is proportional to the cube of the diameter, but the area, only to the square of the diameter. For example, if you double the diameter, the area will increase by a factor of 4, and the volume, by a factor of 8. Thus, the area/volume ratio will worsen, by a factor of 2.The volume is proportional to the cube of the diameter, but the area, only to the square of the diameter. For example, if you double the diameter, the area will increase by a factor of 4, and the volume, by a factor of 8. Thus, the area/volume ratio will worsen, by a factor of 2.
In general, the volume will also increase. If the shape remains the same, the volume will increase faster than the surface area. Specifically, the surface area is proportional to the square of an object's diameter (or any other linear measurement), while the volume is proportional to the cube of any linear measurement.
Although they do not increase at the same rate, as the surface area increases the volume increases slowly.
Increase the water main diameter
increases: by approximately the square of the cube root of the volume increase (that would be exact if the cell was a sphere). Or, in other words, if you double the size (diameter) of a cell. its surface area increases by a factor of 4, and it volume increases by a factor of 8.
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.
Increase pitch or increade piping diameter
Sun: 109 times the diameter of the Earth.Moon: About 1/4 the diameter of the Earth.Note that the surface is proportional to the second power; and the volume, to the third power of the diameter. For example, the Sun's volume is more than a million times the Earth's volume.You get yet other numbers if you compare masses, instead of diameter or volume.Sun: 109 times the diameter of the Earth.Moon: About 1/4 the diameter of the Earth.Note that the surface is proportional to the second power; and the volume, to the third power of the diameter. For example, the Sun's volume is more than a million times the Earth's volume.You get yet other numbers if you compare masses, instead of diameter or volume.Sun: 109 times the diameter of the Earth.Moon: About 1/4 the diameter of the Earth.Note that the surface is proportional to the second power; and the volume, to the third power of the diameter. For example, the Sun's volume is more than a million times the Earth's volume.You get yet other numbers if you compare masses, instead of diameter or volume.Sun: 109 times the diameter of the Earth.Moon: About 1/4 the diameter of the Earth.Note that the surface is proportional to the second power; and the volume, to the third power of the diameter. For example, the Sun's volume is more than a million times the Earth's volume.You get yet other numbers if you compare masses, instead of diameter or volume.
Surface area increases as the square of the diameter, whereas the volume increases by the cube.
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.
No, expansion of volume refers to an increase in the overall size or capacity of an object or substance, and is not related to surface area or superficial characteristics. It is a three-dimensional change in size rather than just a change on the surface.