Respuesta :

Answer:

Height = 18 units

Step-by-step explanation:

Given :

Volume= 162pi, radius= 3 units

We know,

Volume of Cylinder= Pi * (radius)^2*h

now you can substitute, (P.S: dont put the value of pi as it will get cancelled)

162 pi = pi* (3)^2* h

162= 9h

∴h= 162/9= 18

height is 18 units.

Hope it helps. But I am not sure if the answer is correct or not.

Answer:

[tex]v = \pi \: {r}^{2} h \\ where \: v = 162\pi \: \\ r = 3 \\ h = \frac{v}{ {r}^{2} } \\ h = \frac{162}{9} \\ h = 18 units[/tex]