Given:
z be inversely proportional to the cube root of y.
When y =0.064, then z =3.
To find:
a) The constant of proportionality k.
b) The value of z when y = 0.125.
Solution:
a) It is given that, z be inversely proportional to the cube root of y.
...(i)
Where, k is the constant of proportionality.
We have, z=3 when y=0.064. Putting these values in (i), we get
Therefore, the constant of proportionality is .
b) From part (a), we have .
Substituting in (i), we get
We need to find the value of z when y = 0.125. Putting y=0.125, we get
Therefore, the value of z when y = 0.125 is 2.4.