Answer:
For calculating the surface to volume ratio for a spherical cell,
Surface area (S) = 4πr²
Volume (V) = 4πr³ / 3
Ratio = S / V = 4πr² / 4πr³ / 3 = 3 × 4πr² / 4πr³
= 3/r
1. 15 micrometer diameter = Ratio = 3/7.5 = 0.4
2. 2 micrometer diameter = Ratio = 3/1 = 3
The cells exhibiting high surface to volume ratio shows enhanced metabolic activity. Shows easy uptake of oxygen, nutrients, water, and also the excretion of waste as they possess large surface.
