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)
Correct Answer: Option 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)