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If a cell's size increases will its volume increase much slower than the surface area?
Wiki User
∙ 11y ago
A1 If you simplify the image of a cell to that of a sphere, then you can use the equations for working out the volume or surface area as reference. The volume of a sphere = (4/3)*pi*(r^3), that is four thirds of pi multiplied by the radius of the sphere cubed. The surface area of a sphere = 4*pi*(r^2), that is four pi multiplied by the radius of the sphere squared. You can equate these to each other to find the relationship of volume to surface area. Deriving this, you get the equation that (Surface Area^2) = 24*pi*Volume. That is, as the area increases, the volume increases at an exponential rate. So, in answer to your question, the volume increases more quickly than the surface area. A2 Something odd about lines 7-9 above. You can't equate the volume to the area. What you can say is that V = A x r/3, so the conclusion is right. What you should really do is use differential calculus: V = 4/3 x pi x r3, therefore dV/dr = 12/3 x pi x r2. A = 4 x pi x r2, therefore dA/dr = 8 x pi x r.
So the rate of increase of A is proportional to r, whilst that of V is proportional to r2
Wiki User
∙ 15y ago
Wiki User
∙ 9y agoThe ratio increases. Farting does not occur
Wiki User
∙ 11y agofalse, the volume becomes faster......
p.s. I have the same homework sheet
Wiki User
∙ 11y agoIts called the square-cubed law.
double the size and the surface is 4 times as big while the volume is 8 times as big.
Wiki User
∙ 11y agoTrue.
Wiki User
∙ 11y agoNo
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How is the volume of a cell related to its surface area?
Although they do not increase at the same rate, as the surface area increases the volume increases slowly.
How does the surface area to volume ratio change as the cell size increases?
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.
Why does cell size limit function?
If a cell gets too large the function of the cell will decrease. This is because of the surface area to volume ratio, when the volume increase the surface area increases at a slower rate so it is harder for things to pass through the cell, and not as much room for things to enter and exit the cell.
What happens to volume as temperature changes?
if volume of a gas increases temperature also increases
What increases the surface area of the cerebral?
The cerebrum has many folds or wrinkles which increases the surface without increasing the volume
As the radius of a sphere gets larger which of the spheres measurements increases more the surface area or the volume?
The volume increases faster. (proportional to the cube of the radius)The surface area increases slower. (proportional to the square of the radius)
How is the volume of a cell related to its surface area?
Although they do not increase at the same rate, as the surface area increases the volume increases slowly.
Which of the spheres measurements increases more the surface area or the volume?
If you increase the radius, the volume will increase more than the area.
How does the surface area to volume ratio change as the cell size increases?
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.
What the relationships between the surface area of an object and the volume as the object increases in size?
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.
When the volume of a cell increases its surface area?
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.
What happens to a cells surface as a volume ratio as a cell gets bigger?
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.
What happens to a cell's ratio of surface area to volume as the volume increases more rapidly than its surface area?
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.
As a cell increases in size the a. metabolic rate increases. b. surface area to volume ratio increases. c. volume increases and the surface area increases. d. surface area increases and the volume d?
As a cell increases in size the volume increases much faster than the surface area. The possible answer is C.
Why does cell size limit function?
If a cell gets too large the function of the cell will decrease. This is because of the surface area to volume ratio, when the volume increase the surface area increases at a slower rate so it is harder for things to pass through the cell, and not as much room for things to enter and exit the cell.
What happens to volume as temperature changes?
if volume of a gas increases temperature also increases
When the volume of a cube increases does the ratio of its surface area to its volume decrease?
If the length of the cube's side is 'S', then the surface area is 6S2 and the volume is S3 .The ratio of surface area to volume is 6S2/S3 = 6/S .This number is inversely proportional to 'S'. So as the side increases ...causing the volume to increase ... the ratio does decrease, yes.
