Answer :

Answer:

[tex] volume_{cylinder} = 3 \times volume _{cone}[/tex]

Step-by-step explanation:

A cone and a cylinder of the same radius and height.

[tex] volume_{cone} = \frac{1}{3}\pi {r}^{2} h[/tex]

[tex] volume_{cylinder} = \pi {rh}^{2} [/tex]

[tex] volume_{cylinder} = \pi {r}^{2}h = 3 \times \frac{1}{3}\pi {r}^{2}h = 3 \times volume_{cone} [/tex]