It is given in the question that the formula of volume of cone is
![V = (1)/(3) \pi r^2 h](https://img.qammunity.org/2019/formulas/mathematics/college/csceej19d3vzpyj96jgs1phors2syinqa9.png)
Where V is the volume, r is the radius and h is the height.
And we have to find an expression for h.
First we multiply both sides by 3, and on doing that we will get
![3 V= \pi r^2h](https://img.qammunity.org/2019/formulas/mathematics/college/nrzr3tij7v62ga0o0s7f2d2212joyhi54q.png)
Now to isolate h, we have to get rid of pi r square by dividing.
![h= (3V)/( \pi r^2)](https://img.qammunity.org/2019/formulas/mathematics/college/m35rc5oesbzzshgjwxbskwr1at58nlv2ja.png)
Therefore the correct option is B.