The volume V of a growing spherical cell is

Question

V =4/3πr^3,
where the radius is measured in micrometers (1 µm = 10^−6m). Find the average rate of change of V with respect to r when r changes from 3 to each of the following.

i)3 to 6µm
ii)3 to 4µm

Answer 1

well, you have the function. The average rate of change is just (change in volume)/(change in radius). So,

(i) (V(6)-V(3))/(6-3)
(ii) (V(4)-V(3))/(4-3)