If p = \(\frac{3}{5} \sqrt{\frac{q}{r}}\), express q in terms of p and r
A
\(\frac{9}{25} pr^2\)
B
\(\frac{9}{25} p^2r\)
C
\(\frac{25}{9} p^2r\)
D
\(\frac{25}{9} pr^2\)
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
p = \(\frac{3}{5} \sqrt{\frac{q}{r}}; \frac{5p}{3} = \sqrt{\frac{q}{r}}\)
= (\(\frac{5}{3}p\))2
= \(\frac{q}{r}\)
= \(\frac{25p^2}{9} = \frac{q}{r}\)
q = \(\frac{25}{9} p^2 r\)
Source: Myschool Past Questions Archive (Record #36354)