Question

The radius R of a spherical ball is measured as 14 in. with what accuracy must the radius R be measured to gaurantee an error of at most 2in^3 in the calculated volume

Answer 1

V = (4pi/3)r^3

dV = 4pi r^2 x dr

dV = 4pi x 14^2 x 1/16 = 49 pi = 153/9 in^3

hope this helps