To find the radius of the cone, we can use the formula for the volume of a cone:
\[ V = \frac{1}{3} \pi r^2 h \]
We know that the volume \( V = 18\pi \) cubic feet and the height \( h = 6 \) ft. We can substitute these values into the formula and solve for the radius \( r \):
\[ 18\pi = \frac{1}{3} \pi r^2 (6) \]
First, simplify the right side:
\[ 18\pi = \frac{6}{3} \pi r^2 \] \[ 18\pi = 2\pi r^2 \]
Next, we can divide both sides of the equation by \( \pi \):
\[ 18 = 2r^2 \]
Now, divide both sides by 2:
\[ 9 = r^2 \]
Finally, take the square root of both sides:
\[ r = 3 \]
Thus, the radius of the cone is \( 3 \) ft.
The correct response is: B 3 ft