Answer
1. Cell 1
cell surface area = $1,256 μm^{2}$
cell volume = $4,187 μm^{3}$
ratio of surface area to volume = $0.30$
2. Cell 2
cell surface area = $5,024 μm^{2}$
cell volume = $33,493 μm^{3}$
ratio of surface area to volume = $0.15$
Although Cell 2 has twice the radius of the first cell, its surface-to-volume ratio is half of Cell 1's. This illustrates that as cells grow in radius, more space is gained inside the cell than outside. This is due to the fact that most essential cellular processes (e.g. ATP production & respiration) are performed by organelles found within the cell.
Work Step by Step
FORMULAS:
Surface Area of sphere: $4πr^{2}$
Volume of sphere: $4/3πr^{3}$
