Question

For a sphere having volume is given by V = (4/3)πr³ What is the equation of the relative error (ΔV / V) in measurement of the volume V ?

(a)  3(Δr / r) (b) 4 (Δr / r)  (c) (4/3) (Δr / r)   (d) (1/3) (Δr / r)

Answer 1

 (a)  3(Δr / r)

Explanation:

V = (4/3)πr³

 (ΔV / V) = 3(Δr / r)