I have a simple question about the formula for the volume of the cone. Let $C$ a cone, which base has radius $r$ and height equal to $h$. So its volume can be compute by the formula:
$$\text{Vol}(C)=\frac{\pi r^2h}{3}; $$ so far nothing new. I know how to deduce this formula using the integral, but:
why is the volume of the cone exactly one third of the volume of a cylinder with same circle base and the same height? I'm looking for a way to see it without using integral.
