When a volume of a cone is known and has same height and radius as the cone, we can calculate volume of a cylinder by multiplying the volume of the cone by 3.
Explanation:[tex]\text{volume of a cone = }\frac{1}{3}\pi r^{^2}h[/tex][tex]\text{Volume of a cylinder = }\pi r^2h[/tex]From the formular above, there is a relationship between the volume of a cone and volume of a cylinder.
radius is the same for both
height is th same for both
[tex]\begin{gathered} Si\text{ n}ce\text{ volume of a cylinder =}\pi r^2h \\ \text{Volume of a cone = }\frac{1}{3}(\text{volume of a cylinder)} \\ \text{volume of a cylinder = 3(Volume of a cone)} \end{gathered}[/tex]When a volume of a cone is known and has same height and radius as a cylinder, we can calculate volume of a cylinder by multiplying the volume of the cone by 3.
Likewise, to get volume of a cone when volume of a cylinder is given, we would divide volume of a cylinder by 3
