We are provided the volume of cone and its radius and we have to find the height of the cone. The volume of the cone can be expressed as:
[tex]V = \frac{1}{3} \pi r^{2}h [/tex]
From here, we can eliminate h on one side:
[tex]h= \frac{3V}{ \pi r^{2} } [/tex]
Using the values in above equation, we get:
[tex]h= \frac{3*113.04}{3.14*9} = 12 inches[/tex]
So the first option is correct i.e. h = 12 inches
