Answer:
The volume of a cone is [tex]\frac{1}{3}(40)\ ft^{3}[/tex] .
Step-by-step explanation:
Formula
[tex]Volume\ of\ a\ cylinder = \pi r^{2} h[/tex]
[tex]Volume\ of\ a\ cone = \frac{1}{3} \pi r^{2} h[/tex]
Where r is the radius and h is the height .
As given
The volume of a cylinder is 40 ft ³ .
[tex]40= \pi r^{2} h[/tex]
[tex]Volume\ of\ a\ cone = \frac{1}{3}\times 40[/tex]
[tex]Volume\ of\ a\ cone = \frac{1}{3}(40)\ ft^{3}[/tex]
Therefore the volume of a cone is [tex]\frac{1}{3}(40)\ ft^{3}[/tex] .
