The volume of a spherical cancerous tumor is given by the following equation.

Question

V(r) = (4/3)pi r^3
If the radius of a tumor is estimated at 1.4 cm, with a maximum error in measurement of 0.003 cm, determine the error that might occur when the volume of the tumor is calculated.
cm3

Answer 1

v = 4/3 pi r^3
dv = 4pi r^2 dr
So, plug in your values:
r=1.4
dr = 0.003