Where Shall I Cut First?

Relevant wiki: Volume - Problem Solving - Medium

$\large \displaystyle \text{Volume of Cylinder } = \pi r^2 h.\\ \large \displaystyle \text{Volume of Cone } = \frac{1}{3} \pi r^2 h.\\ \large \displaystyle \therefore \text{Ratio of Volume } = \frac{\text{V. of Cylinder}}{\text{V. of cone}}\\ \large \displaystyle = \frac{ \pi r^2 h}{ \frac{1}{3} \pi r^2 h}\\ [\because \text{Both the shapes have same radius and height}]\\ \large \displaystyle \implies \frac{\text{Volume of Cylinder}}{\text{Volume of Cone}} = \frac{3}{1} = 3 : 1\\ \large \displaystyle \implies \color{#D61F06}{\boxed{6 : 2}}.$