Answer: 4 in
Step-by-step explanation:
The volume of the cylinder is
[tex]V=(\pi)(2^{2})(3)=12\pi[/tex]
If we let the height of the cone h, the volume of the cone is
[tex]V=\frac{1}{3}(\pi)(3^{2})(h)=3\pi h[/tex]
Setting these volumes equal,
[tex]12\pi=3\pi h\\\\12=3h\\\\h=\boxed{4 \text{ in}}[/tex]
