Answer:
Z = 0.375
Step-by-step explanation:
Z varies inversely as d ^ 3
so Z ∝ 1 / d ^ 3
To convert proportionality to equality,
Z ∝ 1 / d ^ 3,
Z = k / d ^ 3,
K is proportionality constant,
First we find k by putting values Z = 3 and d = 2,
Z = k / d ^ 3,
=> k = Z d ^ 3,
=> k = 3 ( 2 ) ^ 3,
=> k = 3 x 8,
So value of k is 24
Now find Z by putting values
k = 24 and d = 4
Z = k / d ^ 3,
Z = 24 / ( 4 ) ^ 3
Z = 24 / 64
Z = 0.375
