If a Cell Doubled in Diameter,it Would Have Twice as Much

Question

If a cell doubled in diameter,it would have twice as much cytoplasm to maintain.

Accepted Answer

If a cell doubled in diameter, its volume (and thus the amount of cytoplasm) would increase by a factor of 8, since volume scales with the cube of the diameter (Volume = 4/3 * π * radius^3). Doubling the diameter would increase each linear dimension by a factor of 2, leading to an 8-fold increase in volume, not just double.