How to calculate the height of a cone at particular volume?

Question

The equation for the volume of a cone is $\frac{1}{3}\pi r^2h$ starting from the base. However, I wanna calculate the height of the cone for a particular volume from the tip of the cone. Could you please help me with a formula? Thanks!

Update: In the equation, r is measured from the base. But, I need to calculate the h1 from the tip for a given volume. But h1 is a portion of a cone, where I know the dimensions. I mean I know the values of h and r for the same cone, but I need to find out h1.

Answer 1

$$V=\frac{1}{3}\pi r^2h$$

$$3V=\pi r^2h$$

$$\frac{3V}{\pi r^2}=h$$

Answer 2

We assume $x$ to be volume so we need an equation for height . Thus $\frac{1}{3}πr^2.h=x$ thus $h=\frac{3x}{πr^2}$ plug in values and you get $h$. Hope i have correctly interpreted your question.