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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)
What is the relationship between the surface area and the volume of a cell as one increases or decreases so does the other?
Remember that as the diameter of a spherical cell increases, the surface area increases as the square of the diameter, and the volume increases as the cube of the diameter, so volume increases much faster than surface area. The same principle applies for other shapes than spherical cells, but the math is more complicated.
Which cell has the greater surface area compared to its volume the large cell or one of the smaller cells?
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.
When cell size increases the surface area to volume ratio does what?
decreases i believe(:
What happens to a cells surface area to volume ratio as it gets smaller?
It increases.
