If p = \(\frac{3}{5} \sqrt{\frac{q}{r}}\), express q in terms of p and r
- \(\frac{9}{25} pr^2\)
- \(\frac{9}{25} p^2r\)
-
\(\frac{25}{9} p^2r\)
- \(\frac{25}{9} pr^2\)
The correct answer is: C
Explanation
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 = \(\frac{25}{9} p^2 r\)