The voolume of a cone is given by the formula:
[tex]V = \frac{1}{3} \pi r^{2}h [/tex]
You know the volume, the radius, and pi. Substitute those values into the formula and solve for h, the height.
[tex]23 = \frac{1}{3} (3.14) (1)^{2}h [/tex]
[tex]23 = 1.0466h [/tex]
h = 21.97 in.