Answer:
The volume of a cylinder must be multiplied by 1/3 or divided by 3 to get the volume of a cone
Step-by-step explanation:
Volumes
Given a cylinder of radius r and height h, its volume is calculated with the formula:
[tex]\displaystyle V_{cy}=\pi r^2h[/tex]
On the other hand, the volume of a cone with the same dimensions is:
[tex]\displaystyle V_{co}=\frac{1}{3}\pi r^2h[/tex]
The ratio between them is:
[tex]\displaystyle \frac{V_{co}}{V_{cy}}=\frac{ \frac{1}{3}\pi r^2h}{ \pi r^2h}[/tex]
Simplifying:
[tex]\displaystyle \frac{V_{co}}{V_{cy}}=\frac{1}{3}[/tex]
Cross-multiplying:
[tex]\displaystyle V_{co}=\frac{1}{3}V_{cy}[/tex]
The volume of a cylinder must be multiplied by 1/3 or divided by 3 to get the volume of a cone
