Question

The volume of a soap bubble is represented by the equation $V=0.094\sqrt{A^3}$, where A represents the surface of the bubble. Which expression is also equivalent to V ?

• A. $0.094A^{\frac{3}{2}}$
• B. $0.094A^{\frac{2}{3}}$
• C. $0.094A^6$
• D. $(0.094A^3{)}^{\frac{1}{2}}$

Answer 1

Answer: (A)

$0.094A^{\frac{3}{2}}$

$V=0.094\sqrt{A^3}$
We know that $\sqrt{x^3}=x^{3/2}$
$\therefore V=0.094A^{3/2}$
Hence choice (a) is correct.