The formula for the volume of the cone is:
[tex]V=\frac{1}{3}\pi r^2h[/tex][tex]\begin{gathered} 3V=\pi r^2h \\ \frac{3V}{\pi r^2}=h \end{gathered}[/tex]
Now that the formula was rewriten in terms of h, you can proceed to calculate the heigth of the cone:
V=32 cm³
r= 4cm
π=3.14
[tex]h=\frac{3V}{\pi r^2}=\frac{3\cdot32}{3.14\cdot4^2}=\frac{96}{50.24}=1.91[/tex]
The height of the cone is aprox 2 cm
