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The cerebrum has many folds or wrinkles which increases the surface without increasing the volume
The volume increase.
it's the problem of surface area -to- volume ratio that mean there is no fitting between increasing of surface area and increasing of volume
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.
Simple answer: yes. It's a common theme in all aspects of the universe: the most efficient structure is that which maximizes its SURFACE AREA: VOLUME ratio. Plants and trees do this by having hairs on their roots, greatly increasing their surface area while minimally increasing volume. Side note, that's how the human intestine works too: it's full of small hairs called villi, which increase the surface area:volume ratio, therefore absorbing nutrients more efficiently.
The cerebrum has many folds or wrinkles which increases the surface without increasing the volume
They both increase with increasing cell radius (if we model a cell as a sphere). However, the rate of increase of the surface area is in general slower (dA/dr = 8πr) compared to the rate of increase of the volume (dV/dr = 4πr2). This would mean that with increasing cell size, the surface area to volume ratio is becoming smaller and smaller, giving a cell less surface area for the transport of nutrients for a given unit volume.
They both increase with increasing cell radius (if we model a cell as a sphere). However, the rate of increase of the surface area is in general slower (dA/dr = 8πr) compared to the rate of increase of the volume (dV/dr = 4πr2). This would mean that with increasing cell size, the surface area to volume ratio is becoming smaller and smaller, giving a cell less surface area for the transport of nutrients for a given unit volume.
The volume increase.
it's the problem of surface area -to- volume ratio that mean there is no fitting between increasing of surface area and increasing of volume
Reducing the volume that a gas occupies will increase the pressure because it reduces the surface area that the gas has to impact against. Likewise increasing the temperature will increase pressure by increasing the kinetic energy of the gas molecules.
Increasing the temperature of gas the volume increase.
The volume will increase
Magnets.
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.
In general when you dissolve something in water the density of the solution will be greater than the density of the original water. This is because the solute (in this case, copper sulfate) will take up space between the water molecules, increasing the mass of the solution without increasing the volume. The density is calculated as mass divided by volume, so increasing the mass without increasing the volume will increase the density.
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.