Suppose the height of the cone in the example was tripled. How would the volume of the cone compare to the volume of the cylinder? Explain how you know.

Answer:
Explanation:
The volume of a cone of base radius r and height h is given by
[tex]V=\frac{1}{3}\pi r^2h[/tex]the volume of a cylinder of the same height h and base radius r is given by
iNow of we triple the height of the cone then h -> 3h, and so our volume becomes
[tex]V_{cone}=\frac{1}{3}\pi r^2(3h)[/tex][tex]\Rightarrow V_{cone}=\pi r^2h[/tex]This