The surface area of a cell is squared w.r.t its radius and not proportionally.
- In general, all cells, whether prokaryotic or eukaryotic, must be tiny. Think about the dimensions of a normal cell.
- While not all cells have a sphere-like form, the majority do. A sphere's volume may be calculated using the formula 4πr3/3.,
- whereas its surface area can be calculated using 4πr2. A cell's surface area grows as the square of its radius as the radius rises, yet its volume grows as the cube of its radius (much more rapidly).
- Thus, a cell's surface area to volume ratio drops as it grows in size. If the cell were in the form of a cube, the same reasoning would hold true.
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