The formula for the volume of a cylinder is V=πr²h. The volume of a cylinder is three times the volume of a cone with the same radius and height.
Now, volume of cone is 1/3πh[tex] r^{2} [/tex]
If the volume of a cone with the same height as a cylinder equals the volume of a cylinder, the equation for the radius of cone in terms of the radius of cylinder R, is equal to 3R.
We get this by equating the volume of cone and cylinder:
[tex] \pi R^{2} h = \frac{1}{3} \pi r^{2}h \\ \\ thus, r = 3R[/tex]
