Answer
$p=9/8=1.125$
Work Step by Step
"p varies directly as z squared and inversely as r" can be written as:
$p=\frac{kz^2}{r}$
We can calculate the constant $k$ based on the given set of value of p, z and r.
$\frac{32}{5}=\frac{k*4^2}{10}$
$\frac{32}{5}=\frac{8k}{5}$
$8k=32$
$k=4$
Then, we use this $k=4$ value to find $p$ in the second set.
$p=\frac{4*3^2}{32}=36/32=9/8$