Volume of a cone: 1/3[tex] \pi [/tex]r²h
Plug in 3 for r and 120 for the volume.
1/3[tex] \pi [/tex]3²h = 120
Multiply both sides by 3.
[tex] \pi [/tex]3²h = 360
Divide both sides by pi.
3²h = 114.59
Divide both sides by 3² (9).
h = 12.73, or 13 (rounded to nearest cm)
The height of the cone is 13 cm.