Respuesta :

Volume = pi*r^2
108*pi=pi*r^2
108=r^2 (pi's cancel out)
r= √108 or 6√3 or 10.4 cm

Hope this helps

The volume of the cylinder depends on its height and radius. The radius of the cylinder is 3 cm.

What is the volume?

The volume of a cylinder is the density of the cylinder which shows the amount of material contained in the cylinder.

Volume = [tex]\pi r^2 h[/tex]

Where r is the radius and h is the height of the cylinder.

Given that the volume V of a cylinder is 108π cm³ and its height h is 12 cm. The radius r of the cylinder is calculated as given below.

[tex]108 \pi = \pi r^2 h[/tex]

[tex]108 \pi = \pi r^2 \times 12[/tex]

[tex]\dfrac {108}{12} = r^2[/tex]

[tex]r^2 = 9[/tex]

[tex]r = 3\;\rm cm[/tex]

Hence we can conclude that the radius of the cylinder is 3 cm.

To know more about the volume, follow the link given below.

https://brainly.com/question/12748872.

Q&A Education