The coefficient of expansion of a certain steel is 0.000012 per C^(degree) . The coefficient of volume expansion, in (C^(degree))^-1, is:

A) (0.000012)^3
B) (4pi/3)(0.000012)^3
C) 3 x 0.000012
D) 0.000012

4 answers

V = x^3
dV = 3 x^2 dx

dV/V = 3 x^2 dx/x^3 = 3 dx/x

ah ha, C
3 x 0.000012
(3)(0.000012)
ANS: (3) 3×0.000012