Answer:
The radius of the cone is [tex]5\ ft[/tex]
Step-by-step explanation:
we know that
The volume of a cone is equal to
[tex]V=\frac{1}{3}\pi r^{2}h[/tex]
In this problem we have
[tex]V=50\pi\ ft^{3}[/tex]
[tex]h=6\ ft[/tex]
substitute in the formula and solve for r
[tex]50\pi=\frac{1}{3}\pi r^{2}(6)[/tex]
Simplify
[tex]25=r^{2}[/tex]
square root both sides
[tex]r=5\ ft[/tex]
