If x varies inversely as the cube root of y and x = 1 whe...
If x varies inversely as the cube root of y and x = 1 when y = 8, find y when x = 3
13
23
827
49
Correct answer is C
x∝13√y⟹x=k3√y
When y = 8, x = 1
1=k3√8⟹1=k2
k=2
∴
When x = 3,
3 = \frac{2}{\sqrt[3]{y}} \implies \sqrt[3]{y} = \frac{2}{3}
y = (\frac{2}{3})^{3} = \frac{8}{27}
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