Respuesta :

We compute the volume of a cylinder using the next equation:

[tex]V=h\cdot r^2\cdot\pi[/tex]

Where h is the heigh and r is the radio of the circle face.

The exercise is giving the volumen V = 18 pi, so let's look for the right numbers which can give this result.

[tex]\begin{gathered} r=3\text{ in} \\ h=2\text{ in} \\ V=2\cdot3^2\cdot\pi=2\cdot9\cdot\pi=18\pi \end{gathered}[/tex]

Therefore the correct answer is the 3rd option, r = 3 in and h = 2 in.