The formula for the volume of a cylinder is
[tex]V=\pi r^2h[/tex]To make h a subject divide both sides by pi r^2
[tex]a)h=\frac{V}{\pi r^2}[/tex]The volume is 32 cubic inches
V = 32
The radius is 4 inches
r = 4
Use pi = 3.141
[tex]\begin{gathered} h=\frac{32}{(3.141)(4^2)} \\ \\ h=\frac{32}{(3.141)(16)} \\ \\ h=0.637\text{ inches} \end{gathered}[/tex]b) The height is 0.637 inches