A small cell will have a larger surface-to-volume ratio.
Simply knowing the volume and surface area is not enough information to determine the shape. There is a table of SA/V ratios, but they become distorted for large and small values, so there is no way to tell.
The ratios are "small to large".
The volume of the 6 cm sphere is 1.53 = 3.375 times as large.
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.
If the surface area of the organism is small, then there is no problem with getting all the oxygen needed. If the surface area of the organism is large, therefore a special respiratory surface is needed. An example is lungs, gills. The ratio of surface area to volume in a small organism is greater than the ratio in a large organism.
they have a greater surface-to-volume ratio
By providing a large area in the lungs.
Having a large surface area to volume ratio allows root hairs to quickly absorb water and nutrients from the soil.
Simply knowing the volume and surface area is not enough information to determine the shape. There is a table of SA/V ratios, but they become distorted for large and small values, so there is no way to tell.
When cells get smaller, the volume (as well as mass) decreases faster than the surface area so the surface:volume increases. Cells with a high surface:volume are more effective in receiving nutrients through diffusion. A cell (assume perfect sphere) with radius 2 has a surface area of 16pi and volume of 32pi/3. A cell with radius 3 has a surface area of 36pi and volume of 108pi/3. Also relatively speaking, volume can be thought of as y=x3 and surface area as y=x2. When there is a change in x, the change is more dramatic in the volume, so small cells have high ratios and large cells have low ratios.
A small amount of ice generally melts faster than a large amount of ice because of the difference in surface-area to volume ratios. Heat transfer with the surroundings occurs only at the boundaries of the ice. The rate of melting is thus directly proportional to the surface area. Additionally, the amount of ice to be melted is dependent on the volume. The more ice, the longer it takes to melt. Thus, a small cube of ice will melt faster because it has a greater surface area to volume ratio than a large block of ice.
It will decrease. In a larger cell, you have less surface area per volume.
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Small organisms, like a amoeba's, have large surface area : volume ratios which means the exchange can take place by diffusion through the cell wall, the same as any other single celled organsism.
A millimeter is not equivalent to any volume, no matter how large or small, because "millimeter" is not a unit of volume, so there's no way to compare it to any volume.
The ratios are "small to large".
The volume of the 6 cm sphere is 1.53 = 3.375 times as large.