Question

If $a=b^3$ and $b=\frac{\sqrt{5}}{c}$, calculate the value of $a$ when $c=\frac{1}{3}$.

• A. $0.42$
• B. $1.89$
• C. $60.37$
• D. $100.62$
• E. $301.87$

Answer 1

The correct option is E $301.87$

Given, $a=b^3$ and $b=\frac{\sqrt{5}}{c}$

When $c=\frac{1}{3}$, $b=3\sqrt{5}$

So, $a=(3\sqrt{5}{)}^3$

$=135\sqrt{5}$

$=301.869$

Hence, option E is correct.