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