Answer
$27$
Work Step by Step
Step 1. As $f$ varies jointly as $g^2$ and $h$, we have $f=kg^2h$ where $k$ is a constant.
Step 2. As $f=50$ when $g=5,h=4$, we have $50=k(5)^2(4)$, thus $k=0.5$
Step 3. For $g=3,h=6$, we have $f=0.5(3)^2(6)=27$