Respuesta :
The formula for the volume of cylinder is,
[tex]V=\pi(r)^2h[/tex]Here, r is radius and h is height.
The volume of cone with same radius r and height h is,
[tex]\begin{gathered} v=\frac{1}{3}\pi(r)^2h \\ v=\frac{1}{3}V \end{gathered}[/tex]So volume of cone is one-third of volume of cylinder, if both cone and cylinder have same radius and height.
Determine the volume of cone if cylinder volume is V = 500.
[tex]\begin{gathered} v=\frac{1}{3}\cdot500 \\ =166.666 \\ \approx166.7 \end{gathered}[/tex]So volume of cone is 166.7 meters cube.
